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Finding the Third Proportional to 11,748.38 and 25,680.38

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Solution

The third proportional to 11,748.38 and 25,680.38 is: 56,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.38 : 25,680.38 = 25,680.38 : x
  2. Step 2: Convert to fraction form
    11,748.38/25,680.38 = 25,680.38/x
  3. Step 3: Cross multiply
    11,748.38x = 25,680.38 × 25,680.38
  4. Step 4: Simplify right side
    11,748.38x = 659,481,660.14
  5. Step 5: Solve for x
    x = 659,481,660.14/11,748.38
  6. Step 6: Final answer
    x = 56,133.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.