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Finding the Third Proportional to 40,832 and 62,708

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Solution

The third proportional to 40,832 and 62,708 is: 96,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,832 : 62,708 = 62,708 : x
  2. Step 2: Convert to fraction form
    40,832/62,708 = 62,708/x
  3. Step 3: Cross multiply
    40,832x = 62,708 × 62,708
  4. Step 4: Simplify right side
    40,832x = 3,932,293,264
  5. Step 5: Solve for x
    x = 3,932,293,264/40,832
  6. Step 6: Final answer
    x = 96,304.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.