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Finding the Third Proportional to 11,581.42 and 25,286.83

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Solution

The third proportional to 11,581.42 and 25,286.83 is: 55,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.42 : 25,286.83 = 25,286.83 : x
  2. Step 2: Convert to fraction form
    11,581.42/25,286.83 = 25,286.83/x
  3. Step 3: Cross multiply
    11,581.42x = 25,286.83 × 25,286.83
  4. Step 4: Simplify right side
    11,581.42x = 639,423,849.48
  5. Step 5: Solve for x
    x = 639,423,849.48/11,581.42
  6. Step 6: Final answer
    x = 55,211.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.