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Finding the Third Proportional to 27,874.13 and 38,692.69

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Solution

The third proportional to 27,874.13 and 38,692.69 is: 53,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.13 : 38,692.69 = 38,692.69 : x
  2. Step 2: Convert to fraction form
    27,874.13/38,692.69 = 38,692.69/x
  3. Step 3: Cross multiply
    27,874.13x = 38,692.69 × 38,692.69
  4. Step 4: Simplify right side
    27,874.13x = 1,497,124,065.97
  5. Step 5: Solve for x
    x = 1,497,124,065.97/27,874.13
  6. Step 6: Final answer
    x = 53,710.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.