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Finding the Third Proportional to 5,738.81 and 11,785.88

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Solution

The third proportional to 5,738.81 and 11,785.88 is: 24,204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.81 : 11,785.88 = 11,785.88 : x
  2. Step 2: Convert to fraction form
    5,738.81/11,785.88 = 11,785.88/x
  3. Step 3: Cross multiply
    5,738.81x = 11,785.88 × 11,785.88
  4. Step 4: Simplify right side
    5,738.81x = 138,906,849.52
  5. Step 5: Solve for x
    x = 138,906,849.52/5,738.81
  6. Step 6: Final answer
    x = 24,204.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.