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Finding the Third Proportional to 11,734.24 and 25,311.87

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Solution

The third proportional to 11,734.24 and 25,311.87 is: 54,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.24 : 25,311.87 = 25,311.87 : x
  2. Step 2: Convert to fraction form
    11,734.24/25,311.87 = 25,311.87/x
  3. Step 3: Cross multiply
    11,734.24x = 25,311.87 × 25,311.87
  4. Step 4: Simplify right side
    11,734.24x = 640,690,620.52
  5. Step 5: Solve for x
    x = 640,690,620.52/11,734.24
  6. Step 6: Final answer
    x = 54,600.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.