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Finding the Third Proportional to 11,760.19 and 25,366.92

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Solution

The third proportional to 11,760.19 and 25,366.92 is: 54,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.19 : 25,366.92 = 25,366.92 : x
  2. Step 2: Convert to fraction form
    11,760.19/25,366.92 = 25,366.92/x
  3. Step 3: Cross multiply
    11,760.19x = 25,366.92 × 25,366.92
  4. Step 4: Simplify right side
    11,760.19x = 643,480,725.41
  5. Step 5: Solve for x
    x = 643,480,725.41/11,760.19
  6. Step 6: Final answer
    x = 54,716.88

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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.