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Finding the Third Proportional to 3,951.28 and 4,315.78

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Solution

The third proportional to 3,951.28 and 4,315.78 is: 4,713.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.28 : 4,315.78 = 4,315.78 : x
  2. Step 2: Convert to fraction form
    3,951.28/4,315.78 = 4,315.78/x
  3. Step 3: Cross multiply
    3,951.28x = 4,315.78 × 4,315.78
  4. Step 4: Simplify right side
    3,951.28x = 18,625,967.80
  5. Step 5: Solve for x
    x = 18,625,967.80/3,951.28
  6. Step 6: Final answer
    x = 4,713.91

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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.