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Finding the Third Proportional to 5,959.13 and 11,767.88

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Solution

The third proportional to 5,959.13 and 11,767.88 is: 23,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.13 : 11,767.88 = 11,767.88 : x
  2. Step 2: Convert to fraction form
    5,959.13/11,767.88 = 11,767.88/x
  3. Step 3: Cross multiply
    5,959.13x = 11,767.88 × 11,767.88
  4. Step 4: Simplify right side
    5,959.13x = 138,482,882.02
  5. Step 5: Solve for x
    x = 138,482,882.02/5,959.13
  6. Step 6: Final answer
    x = 23,238.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.