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Finding the Third Proportional to 6,540.75 and 12,754.13

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Solution

The third proportional to 6,540.75 and 12,754.13 is: 24,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.75 : 12,754.13 = 12,754.13 : x
  2. Step 2: Convert to fraction form
    6,540.75/12,754.13 = 12,754.13/x
  3. Step 3: Cross multiply
    6,540.75x = 12,754.13 × 12,754.13
  4. Step 4: Simplify right side
    6,540.75x = 162,667,704.52
  5. Step 5: Solve for x
    x = 162,667,704.52/6,540.75
  6. Step 6: Final answer
    x = 24,869.89

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.