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Finding the Third Proportional to 3,739.92 and 5,585.20

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Solution

The third proportional to 3,739.92 and 5,585.20 is: 8,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.92 : 5,585.20 = 5,585.20 : x
  2. Step 2: Convert to fraction form
    3,739.92/5,585.20 = 5,585.20/x
  3. Step 3: Cross multiply
    3,739.92x = 5,585.20 × 5,585.20
  4. Step 4: Simplify right side
    3,739.92x = 31,194,493.95
  5. Step 5: Solve for x
    x = 31,194,493.95/3,739.92
  6. Step 6: Final answer
    x = 8,340.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.