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Finding the Third Proportional to 10,534.50 and 23,013

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Solution

The third proportional to 10,534.50 and 23,013 is: 50,272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.50 : 23,013 = 23,013 : x
  2. Step 2: Convert to fraction form
    10,534.50/23,013 = 23,013/x
  3. Step 3: Cross multiply
    10,534.50x = 23,013 × 23,013
  4. Step 4: Simplify right side
    10,534.50x = 529,598,169
  5. Step 5: Solve for x
    x = 529,598,169/10,534.50
  6. Step 6: Final answer
    x = 50,272.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.