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Finding the Third Proportional to 22,578 and 34,317

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Solution

The third proportional to 22,578 and 34,317 is: 52,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578 : 34,317 = 34,317 : x
  2. Step 2: Convert to fraction form
    22,578/34,317 = 34,317/x
  3. Step 3: Cross multiply
    22,578x = 34,317 × 34,317
  4. Step 4: Simplify right side
    22,578x = 1,177,656,489
  5. Step 5: Solve for x
    x = 1,177,656,489/22,578
  6. Step 6: Final answer
    x = 52,159.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.