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Finding the Third Proportional to 27,706 and 38,877

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Solution

The third proportional to 27,706 and 38,877 is: 54,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706 : 38,877 = 38,877 : x
  2. Step 2: Convert to fraction form
    27,706/38,877 = 38,877/x
  3. Step 3: Cross multiply
    27,706x = 38,877 × 38,877
  4. Step 4: Simplify right side
    27,706x = 1,511,421,129
  5. Step 5: Solve for x
    x = 1,511,421,129/27,706
  6. Step 6: Final answer
    x = 54,552.12

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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.