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Finding the Third Proportional to 12,750 and 27,617.50

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Solution

The third proportional to 12,750 and 27,617.50 is: 59,821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750 : 27,617.50 = 27,617.50 : x
  2. Step 2: Convert to fraction form
    12,750/27,617.50 = 27,617.50/x
  3. Step 3: Cross multiply
    12,750x = 27,617.50 × 27,617.50
  4. Step 4: Simplify right side
    12,750x = 762,726,306.25
  5. Step 5: Solve for x
    x = 762,726,306.25/12,750
  6. Step 6: Final answer
    x = 59,821.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.