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Finding the Third Proportional to 5,701.59 and 8,529.56

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Solution

The third proportional to 5,701.59 and 8,529.56 is: 12,760.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.59 : 8,529.56 = 8,529.56 : x
  2. Step 2: Convert to fraction form
    5,701.59/8,529.56 = 8,529.56/x
  3. Step 3: Cross multiply
    5,701.59x = 8,529.56 × 8,529.56
  4. Step 4: Simplify right side
    5,701.59x = 72,753,436.44
  5. Step 5: Solve for x
    x = 72,753,436.44/5,701.59
  6. Step 6: Final answer
    x = 12,760.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.