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Finding the Third Proportional to 22,767 and 34,217

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Solution

The third proportional to 22,767 and 34,217 is: 51,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767 : 34,217 = 34,217 : x
  2. Step 2: Convert to fraction form
    22,767/34,217 = 34,217/x
  3. Step 3: Cross multiply
    22,767x = 34,217 × 34,217
  4. Step 4: Simplify right side
    22,767x = 1,170,803,089
  5. Step 5: Solve for x
    x = 1,170,803,089/22,767
  6. Step 6: Final answer
    x = 51,425.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.