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Finding the Third Proportional to 5,587.88 and 12,286.13

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Solution

The third proportional to 5,587.88 and 12,286.13 is: 27,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.88 : 12,286.13 = 12,286.13 : x
  2. Step 2: Convert to fraction form
    5,587.88/12,286.13 = 12,286.13/x
  3. Step 3: Cross multiply
    5,587.88x = 12,286.13 × 12,286.13
  4. Step 4: Simplify right side
    5,587.88x = 150,948,867.52
  5. Step 5: Solve for x
    x = 150,948,867.52/5,587.88
  6. Step 6: Final answer
    x = 27,013.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.