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Finding the Third Proportional to 40,982 and 63,292

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Solution

The third proportional to 40,982 and 63,292 is: 97,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,982 : 63,292 = 63,292 : x
  2. Step 2: Convert to fraction form
    40,982/63,292 = 63,292/x
  3. Step 3: Cross multiply
    40,982x = 63,292 × 63,292
  4. Step 4: Simplify right side
    40,982x = 4,005,877,264
  5. Step 5: Solve for x
    x = 4,005,877,264/40,982
  6. Step 6: Final answer
    x = 97,747.24

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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.