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Finding the Third Proportional to 5,958.28 and 12,686.91

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Solution

The third proportional to 5,958.28 and 12,686.91 is: 27,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.28 : 12,686.91 = 12,686.91 : x
  2. Step 2: Convert to fraction form
    5,958.28/12,686.91 = 12,686.91/x
  3. Step 3: Cross multiply
    5,958.28x = 12,686.91 × 12,686.91
  4. Step 4: Simplify right side
    5,958.28x = 160,957,590.20
  5. Step 5: Solve for x
    x = 160,957,590.20/5,958.28
  6. Step 6: Final answer
    x = 27,014.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.