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Finding the Third Proportional to 6,757.75 and 10,217.50

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Solution

The third proportional to 6,757.75 and 10,217.50 is: 15,448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.75 : 10,217.50 = 10,217.50 : x
  2. Step 2: Convert to fraction form
    6,757.75/10,217.50 = 10,217.50/x
  3. Step 3: Cross multiply
    6,757.75x = 10,217.50 × 10,217.50
  4. Step 4: Simplify right side
    6,757.75x = 104,397,306.25
  5. Step 5: Solve for x
    x = 104,397,306.25/6,757.75
  6. Step 6: Final answer
    x = 15,448.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.