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Finding the Third Proportional to 6,342.75 and 6,882.75

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Solution

The third proportional to 6,342.75 and 6,882.75 is: 7,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.75 : 6,882.75 = 6,882.75 : x
  2. Step 2: Convert to fraction form
    6,342.75/6,882.75 = 6,882.75/x
  3. Step 3: Cross multiply
    6,342.75x = 6,882.75 × 6,882.75
  4. Step 4: Simplify right side
    6,342.75x = 47,372,247.56
  5. Step 5: Solve for x
    x = 47,372,247.56/6,342.75
  6. Step 6: Final answer
    x = 7,468.72

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.