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Finding the Third Proportional to 6,589.13 and 8,709.19

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Solution

The third proportional to 6,589.13 and 8,709.19 is: 11,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.13 : 8,709.19 = 8,709.19 : x
  2. Step 2: Convert to fraction form
    6,589.13/8,709.19 = 8,709.19/x
  3. Step 3: Cross multiply
    6,589.13x = 8,709.19 × 8,709.19
  4. Step 4: Simplify right side
    6,589.13x = 75,849,946.91
  5. Step 5: Solve for x
    x = 75,849,946.91/6,589.13
  6. Step 6: Final answer
    x = 11,511.38

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