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Finding the Third Proportional to 2,939.20 and 4,552.95

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Solution

The third proportional to 2,939.20 and 4,552.95 is: 7,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.20 : 4,552.95 = 4,552.95 : x
  2. Step 2: Convert to fraction form
    2,939.20/4,552.95 = 4,552.95/x
  3. Step 3: Cross multiply
    2,939.20x = 4,552.95 × 4,552.95
  4. Step 4: Simplify right side
    2,939.20x = 20,729,311.02
  5. Step 5: Solve for x
    x = 20,729,311.02/2,939.20
  6. Step 6: Final answer
    x = 7,052.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.