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Finding the Third Proportional to 5,863.78 and 11,966.34

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Solution

The third proportional to 5,863.78 and 11,966.34 is: 24,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.78 : 11,966.34 = 11,966.34 : x
  2. Step 2: Convert to fraction form
    5,863.78/11,966.34 = 11,966.34/x
  3. Step 3: Cross multiply
    5,863.78x = 11,966.34 × 11,966.34
  4. Step 4: Simplify right side
    5,863.78x = 143,193,382.74
  5. Step 5: Solve for x
    x = 143,193,382.74/5,863.78
  6. Step 6: Final answer
    x = 24,419.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.