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Finding the Third Proportional to 40,632 and 61,732

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Solution

The third proportional to 40,632 and 61,732 is: 93,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,632 : 61,732 = 61,732 : x
  2. Step 2: Convert to fraction form
    40,632/61,732 = 61,732/x
  3. Step 3: Cross multiply
    40,632x = 61,732 × 61,732
  4. Step 4: Simplify right side
    40,632x = 3,810,839,824
  5. Step 5: Solve for x
    x = 3,810,839,824/40,632
  6. Step 6: Final answer
    x = 93,789.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.