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Finding the Third Proportional to 6,052.50 and 8,691.75

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Solution

The third proportional to 6,052.50 and 8,691.75 is: 12,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.50 : 8,691.75 = 8,691.75 : x
  2. Step 2: Convert to fraction form
    6,052.50/8,691.75 = 8,691.75/x
  3. Step 3: Cross multiply
    6,052.50x = 8,691.75 × 8,691.75
  4. Step 4: Simplify right side
    6,052.50x = 75,546,518.06
  5. Step 5: Solve for x
    x = 75,546,518.06/6,052.50
  6. Step 6: Final answer
    x = 12,481.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.