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Finding the Third Proportional to 22,536 and 34,289

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Solution

The third proportional to 22,536 and 34,289 is: 52,171.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,536 : 34,289 = 34,289 : x
  2. Step 2: Convert to fraction form
    22,536/34,289 = 34,289/x
  3. Step 3: Cross multiply
    22,536x = 34,289 × 34,289
  4. Step 4: Simplify right side
    22,536x = 1,175,735,521
  5. Step 5: Solve for x
    x = 1,175,735,521/22,536
  6. Step 6: Final answer
    x = 52,171.44

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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.