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Finding the Third Proportional to 5,609.06 and 8,709.56

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Solution

The third proportional to 5,609.06 and 8,709.56 is: 13,523.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.06 : 8,709.56 = 8,709.56 : x
  2. Step 2: Convert to fraction form
    5,609.06/8,709.56 = 8,709.56/x
  3. Step 3: Cross multiply
    5,609.06x = 8,709.56 × 8,709.56
  4. Step 4: Simplify right side
    5,609.06x = 75,856,478.94
  5. Step 5: Solve for x
    x = 75,856,478.94/5,609.06
  6. Step 6: Final answer
    x = 13,523.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.