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Finding the Third Proportional to 19,882 and 27,866

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Solution

The third proportional to 19,882 and 27,866 is: 39,056.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 27,866 = 27,866 : x
  2. Step 2: Convert to fraction form
    19,882/27,866 = 27,866/x
  3. Step 3: Cross multiply
    19,882x = 27,866 × 27,866
  4. Step 4: Simplify right side
    19,882x = 776,513,956
  5. Step 5: Solve for x
    x = 776,513,956/19,882
  6. Step 6: Final answer
    x = 39,056.13

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.