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Finding the Third Proportional to 5,686.13 and 11,961.38

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Solution

The third proportional to 5,686.13 and 11,961.38 is: 25,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.13 : 11,961.38 = 11,961.38 : x
  2. Step 2: Convert to fraction form
    5,686.13/11,961.38 = 11,961.38/x
  3. Step 3: Cross multiply
    5,686.13x = 11,961.38 × 11,961.38
  4. Step 4: Simplify right side
    5,686.13x = 143,074,491.89
  5. Step 5: Solve for x
    x = 143,074,491.89/5,686.13
  6. Step 6: Final answer
    x = 25,162.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.