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Finding the Third Proportional to 2,854.13 and 3,772.69

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Solution

The third proportional to 2,854.13 and 3,772.69 is: 4,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.13 : 3,772.69 = 3,772.69 : x
  2. Step 2: Convert to fraction form
    2,854.13/3,772.69 = 3,772.69/x
  3. Step 3: Cross multiply
    2,854.13x = 3,772.69 × 3,772.69
  4. Step 4: Simplify right side
    2,854.13x = 14,233,170.97
  5. Step 5: Solve for x
    x = 14,233,170.97/2,854.13
  6. Step 6: Final answer
    x = 4,986.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.