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Finding the Third Proportional to 40,698 and 60,741

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Solution

The third proportional to 40,698 and 60,741 is: 90,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,698 : 60,741 = 60,741 : x
  2. Step 2: Convert to fraction form
    40,698/60,741 = 60,741/x
  3. Step 3: Cross multiply
    40,698x = 60,741 × 60,741
  4. Step 4: Simplify right side
    40,698x = 3,689,469,081
  5. Step 5: Solve for x
    x = 3,689,469,081/40,698
  6. Step 6: Final answer
    x = 90,654.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.