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Finding the Third Proportional to 15,342 and 23,013

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Solution

The third proportional to 15,342 and 23,013 is: 34,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342 : 23,013 = 23,013 : x
  2. Step 2: Convert to fraction form
    15,342/23,013 = 23,013/x
  3. Step 3: Cross multiply
    15,342x = 23,013 × 23,013
  4. Step 4: Simplify right side
    15,342x = 529,598,169
  5. Step 5: Solve for x
    x = 529,598,169/15,342
  6. Step 6: Final answer
    x = 34,519.50

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.