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Finding the Third Proportional to 24,694 and 34,569

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Solution

The third proportional to 24,694 and 34,569 is: 48,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694 : 34,569 = 34,569 : x
  2. Step 2: Convert to fraction form
    24,694/34,569 = 34,569/x
  3. Step 3: Cross multiply
    24,694x = 34,569 × 34,569
  4. Step 4: Simplify right side
    24,694x = 1,195,015,761
  5. Step 5: Solve for x
    x = 1,195,015,761/24,694
  6. Step 6: Final answer
    x = 48,392.96

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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.