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Finding the Third Proportional to 2,937.52 and 4,550.70

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Solution

The third proportional to 2,937.52 and 4,550.70 is: 7,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.52 : 4,550.70 = 4,550.70 : x
  2. Step 2: Convert to fraction form
    2,937.52/4,550.70 = 4,550.70/x
  3. Step 3: Cross multiply
    2,937.52x = 4,550.70 × 4,550.70
  4. Step 4: Simplify right side
    2,937.52x = 20,708,827.83
  5. Step 5: Solve for x
    x = 20,708,827.83/2,937.52
  6. Step 6: Final answer
    x = 7,049.78

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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.