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Finding the Third Proportional to 42,407 and 62,344

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Solution

The third proportional to 42,407 and 62,344 is: 91,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,407 : 62,344 = 62,344 : x
  2. Step 2: Convert to fraction form
    42,407/62,344 = 62,344/x
  3. Step 3: Cross multiply
    42,407x = 62,344 × 62,344
  4. Step 4: Simplify right side
    42,407x = 3,886,774,336
  5. Step 5: Solve for x
    x = 3,886,774,336/42,407
  6. Step 6: Final answer
    x = 91,654.07

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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.