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Finding the Third Proportional to 6,247.76 and 7,324.17

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Solution

The third proportional to 6,247.76 and 7,324.17 is: 8,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.76 : 7,324.17 = 7,324.17 : x
  2. Step 2: Convert to fraction form
    6,247.76/7,324.17 = 7,324.17/x
  3. Step 3: Cross multiply
    6,247.76x = 7,324.17 × 7,324.17
  4. Step 4: Simplify right side
    6,247.76x = 53,643,493.65
  5. Step 5: Solve for x
    x = 53,643,493.65/6,247.76
  6. Step 6: Final answer
    x = 8,586.04

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.