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Finding the Third Proportional to 27,175 and 36,566

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Solution

The third proportional to 27,175 and 36,566 is: 49,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,175 : 36,566 = 36,566 : x
  2. Step 2: Convert to fraction form
    27,175/36,566 = 36,566/x
  3. Step 3: Cross multiply
    27,175x = 36,566 × 36,566
  4. Step 4: Simplify right side
    27,175x = 1,337,072,356
  5. Step 5: Solve for x
    x = 1,337,072,356/27,175
  6. Step 6: Final answer
    x = 49,202.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.