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Finding the Third Proportional to 5,246.25 and 8,221.13

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Solution

The third proportional to 5,246.25 and 8,221.13 is: 12,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.25 : 8,221.13 = 8,221.13 : x
  2. Step 2: Convert to fraction form
    5,246.25/8,221.13 = 8,221.13/x
  3. Step 3: Cross multiply
    5,246.25x = 8,221.13 × 8,221.13
  4. Step 4: Simplify right side
    5,246.25x = 67,586,896.27
  5. Step 5: Solve for x
    x = 67,586,896.27/5,246.25
  6. Step 6: Final answer
    x = 12,882.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.