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Finding the Third Proportional to 5,608.59 and 8,709.19

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Solution

The third proportional to 5,608.59 and 8,709.19 is: 13,523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.59 : 8,709.19 = 8,709.19 : x
  2. Step 2: Convert to fraction form
    5,608.59/8,709.19 = 8,709.19/x
  3. Step 3: Cross multiply
    5,608.59x = 8,709.19 × 8,709.19
  4. Step 4: Simplify right side
    5,608.59x = 75,849,946.91
  5. Step 5: Solve for x
    x = 75,849,946.91/5,608.59
  6. Step 6: Final answer
    x = 13,523.88

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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.