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Finding the Third Proportional to 24,802 and 34,689

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Solution

The third proportional to 24,802 and 34,689 is: 48,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 34,689 = 34,689 : x
  2. Step 2: Convert to fraction form
    24,802/34,689 = 34,689/x
  3. Step 3: Cross multiply
    24,802x = 34,689 × 34,689
  4. Step 4: Simplify right side
    24,802x = 1,203,326,721
  5. Step 5: Solve for x
    x = 1,203,326,721/24,802
  6. Step 6: Final answer
    x = 48,517.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.