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Finding the Third Proportional to 31,632 and 42,792

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Solution

The third proportional to 31,632 and 42,792 is: 57,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,632 : 42,792 = 42,792 : x
  2. Step 2: Convert to fraction form
    31,632/42,792 = 42,792/x
  3. Step 3: Cross multiply
    31,632x = 42,792 × 42,792
  4. Step 4: Simplify right side
    31,632x = 1,831,155,264
  5. Step 5: Solve for x
    x = 1,831,155,264/31,632
  6. Step 6: Final answer
    x = 57,889.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.