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Finding the Third Proportional to 5,868.75 and 12,732.75

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Solution

The third proportional to 5,868.75 and 12,732.75 is: 27,624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.75 : 12,732.75 = 12,732.75 : x
  2. Step 2: Convert to fraction form
    5,868.75/12,732.75 = 12,732.75/x
  3. Step 3: Cross multiply
    5,868.75x = 12,732.75 × 12,732.75
  4. Step 4: Simplify right side
    5,868.75x = 162,122,922.56
  5. Step 5: Solve for x
    x = 162,122,922.56/5,868.75
  6. Step 6: Final answer
    x = 27,624.78

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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.