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Finding the Third Proportional to 27,627 and 58,206

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Solution

The third proportional to 27,627 and 58,206 is: 122,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,627 : 58,206 = 58,206 : x
  2. Step 2: Convert to fraction form
    27,627/58,206 = 58,206/x
  3. Step 3: Cross multiply
    27,627x = 58,206 × 58,206
  4. Step 4: Simplify right side
    27,627x = 3,387,938,436
  5. Step 5: Solve for x
    x = 3,387,938,436/27,627
  6. Step 6: Final answer
    x = 122,631.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.