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Finding the Third Proportional to 12,882 and 27,171.50

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Solution

The third proportional to 12,882 and 27,171.50 is: 57,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882 : 27,171.50 = 27,171.50 : x
  2. Step 2: Convert to fraction form
    12,882/27,171.50 = 27,171.50/x
  3. Step 3: Cross multiply
    12,882x = 27,171.50 × 27,171.50
  4. Step 4: Simplify right side
    12,882x = 738,290,412.25
  5. Step 5: Solve for x
    x = 738,290,412.25/12,882
  6. Step 6: Final answer
    x = 57,311.78

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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.