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Finding the Third Proportional to 1,251.28 and 2,686.23

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Solution

The third proportional to 1,251.28 and 2,686.23 is: 5,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.28 : 2,686.23 = 2,686.23 : x
  2. Step 2: Convert to fraction form
    1,251.28/2,686.23 = 2,686.23/x
  3. Step 3: Cross multiply
    1,251.28x = 2,686.23 × 2,686.23
  4. Step 4: Simplify right side
    1,251.28x = 7,215,830.20
  5. Step 5: Solve for x
    x = 7,215,830.20/1,251.28
  6. Step 6: Final answer
    x = 5,766.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.