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Finding the Third Proportional to 38,569 and 84,517

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Solution

The third proportional to 38,569 and 84,517 is: 185,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569 : 84,517 = 84,517 : x
  2. Step 2: Convert to fraction form
    38,569/84,517 = 84,517/x
  3. Step 3: Cross multiply
    38,569x = 84,517 × 84,517
  4. Step 4: Simplify right side
    38,569x = 7,143,123,289
  5. Step 5: Solve for x
    x = 7,143,123,289/38,569
  6. Step 6: Final answer
    x = 185,203.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.