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Finding the Third Proportional to 8,247.66 and 16,082.72

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Solution

The third proportional to 8,247.66 and 16,082.72 is: 31,360.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.66 : 16,082.72 = 16,082.72 : x
  2. Step 2: Convert to fraction form
    8,247.66/16,082.72 = 16,082.72/x
  3. Step 3: Cross multiply
    8,247.66x = 16,082.72 × 16,082.72
  4. Step 4: Simplify right side
    8,247.66x = 258,653,842.39
  5. Step 5: Solve for x
    x = 258,653,842.39/8,247.66
  6. Step 6: Final answer
    x = 31,360.89

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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.