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Finding the Third Proportional to 6,122.25 and 8,083.13

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Solution

The third proportional to 6,122.25 and 8,083.13 is: 10,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.25 : 8,083.13 = 8,083.13 : x
  2. Step 2: Convert to fraction form
    6,122.25/8,083.13 = 8,083.13/x
  3. Step 3: Cross multiply
    6,122.25x = 8,083.13 × 8,083.13
  4. Step 4: Simplify right side
    6,122.25x = 65,336,909.77
  5. Step 5: Solve for x
    x = 65,336,909.77/6,122.25
  6. Step 6: Final answer
    x = 10,672.04

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.