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Finding the Third Proportional to 22,864 and 34,539

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Solution

The third proportional to 22,864 and 34,539 is: 52,175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864 : 34,539 = 34,539 : x
  2. Step 2: Convert to fraction form
    22,864/34,539 = 34,539/x
  3. Step 3: Cross multiply
    22,864x = 34,539 × 34,539
  4. Step 4: Simplify right side
    22,864x = 1,192,942,521
  5. Step 5: Solve for x
    x = 1,192,942,521/22,864
  6. Step 6: Final answer
    x = 52,175.58

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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.