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Finding the Third Proportional to 6,287.97 and 8,813.19

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Solution

The third proportional to 6,287.97 and 8,813.19 is: 12,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.97 : 8,813.19 = 8,813.19 : x
  2. Step 2: Convert to fraction form
    6,287.97/8,813.19 = 8,813.19/x
  3. Step 3: Cross multiply
    6,287.97x = 8,813.19 × 8,813.19
  4. Step 4: Simplify right side
    6,287.97x = 77,672,273.91
  5. Step 5: Solve for x
    x = 77,672,273.91/6,287.97
  6. Step 6: Final answer
    x = 12,352.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.