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Finding the Third Proportional to 3,264.28 and 4,972.92

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Solution

The third proportional to 3,264.28 and 4,972.92 is: 7,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.28 : 4,972.92 = 4,972.92 : x
  2. Step 2: Convert to fraction form
    3,264.28/4,972.92 = 4,972.92/x
  3. Step 3: Cross multiply
    3,264.28x = 4,972.92 × 4,972.92
  4. Step 4: Simplify right side
    3,264.28x = 24,729,951.97
  5. Step 5: Solve for x
    x = 24,729,951.97/3,264.28
  6. Step 6: Final answer
    x = 7,575.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.