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Finding the Third Proportional to 15,160 and 23,014

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Solution

The third proportional to 15,160 and 23,014 is: 34,936.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,160 : 23,014 = 23,014 : x
  2. Step 2: Convert to fraction form
    15,160/23,014 = 23,014/x
  3. Step 3: Cross multiply
    15,160x = 23,014 × 23,014
  4. Step 4: Simplify right side
    15,160x = 529,644,196
  5. Step 5: Solve for x
    x = 529,644,196/15,160
  6. Step 6: Final answer
    x = 34,936.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.