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Finding the Third Proportional to 40,370 and 62,725

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Solution

The third proportional to 40,370 and 62,725 is: 97,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,370 : 62,725 = 62,725 : x
  2. Step 2: Convert to fraction form
    40,370/62,725 = 62,725/x
  3. Step 3: Cross multiply
    40,370x = 62,725 × 62,725
  4. Step 4: Simplify right side
    40,370x = 3,934,425,625
  5. Step 5: Solve for x
    x = 3,934,425,625/40,370
  6. Step 6: Final answer
    x = 97,459.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.