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Finding the Third Proportional to 27,490 and 58,866

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Solution

The third proportional to 27,490 and 58,866 is: 126,053.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490 : 58,866 = 58,866 : x
  2. Step 2: Convert to fraction form
    27,490/58,866 = 58,866/x
  3. Step 3: Cross multiply
    27,490x = 58,866 × 58,866
  4. Step 4: Simplify right side
    27,490x = 3,465,205,956
  5. Step 5: Solve for x
    x = 3,465,205,956/27,490
  6. Step 6: Final answer
    x = 126,053.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.