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Finding the Third Proportional to 6,589.50 and 10,471.13

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Solution

The third proportional to 6,589.50 and 10,471.13 is: 16,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.50 : 10,471.13 = 10,471.13 : x
  2. Step 2: Convert to fraction form
    6,589.50/10,471.13 = 10,471.13/x
  3. Step 3: Cross multiply
    6,589.50x = 10,471.13 × 10,471.13
  4. Step 4: Simplify right side
    6,589.50x = 109,644,458.77
  5. Step 5: Solve for x
    x = 109,644,458.77/6,589.50
  6. Step 6: Final answer
    x = 16,639.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.