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Finding the Third Proportional to 42,982 and 66,418

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Solution

The third proportional to 42,982 and 66,418 is: 102,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,982 : 66,418 = 66,418 : x
  2. Step 2: Convert to fraction form
    42,982/66,418 = 66,418/x
  3. Step 3: Cross multiply
    42,982x = 66,418 × 66,418
  4. Step 4: Simplify right side
    42,982x = 4,411,350,724
  5. Step 5: Solve for x
    x = 4,411,350,724/42,982
  6. Step 6: Final answer
    x = 102,632.51

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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.