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Finding the Third Proportional to 42,512 and 62,472

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Solution

The third proportional to 42,512 and 62,472 is: 91,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,512 : 62,472 = 62,472 : x
  2. Step 2: Convert to fraction form
    42,512/62,472 = 62,472/x
  3. Step 3: Cross multiply
    42,512x = 62,472 × 62,472
  4. Step 4: Simplify right side
    42,512x = 3,902,750,784
  5. Step 5: Solve for x
    x = 3,902,750,784/42,512
  6. Step 6: Final answer
    x = 91,803.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.