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Finding the Third Proportional to 41,698 and 62,909

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Solution

The third proportional to 41,698 and 62,909 is: 94,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698 : 62,909 = 62,909 : x
  2. Step 2: Convert to fraction form
    41,698/62,909 = 62,909/x
  3. Step 3: Cross multiply
    41,698x = 62,909 × 62,909
  4. Step 4: Simplify right side
    41,698x = 3,957,542,281
  5. Step 5: Solve for x
    x = 3,957,542,281/41,698
  6. Step 6: Final answer
    x = 94,909.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.