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Finding the Third Proportional to 40,531 and 60,634

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Solution

The third proportional to 40,531 and 60,634 is: 90,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,531 : 60,634 = 60,634 : x
  2. Step 2: Convert to fraction form
    40,531/60,634 = 60,634/x
  3. Step 3: Cross multiply
    40,531x = 60,634 × 60,634
  4. Step 4: Simplify right side
    40,531x = 3,676,481,956
  5. Step 5: Solve for x
    x = 3,676,481,956/40,531
  6. Step 6: Final answer
    x = 90,707.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.