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Finding the Third Proportional to 5,472.94 and 8,346.19

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Solution

The third proportional to 5,472.94 and 8,346.19 is: 12,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.94 : 8,346.19 = 8,346.19 : x
  2. Step 2: Convert to fraction form
    5,472.94/8,346.19 = 8,346.19/x
  3. Step 3: Cross multiply
    5,472.94x = 8,346.19 × 8,346.19
  4. Step 4: Simplify right side
    5,472.94x = 69,658,845.79
  5. Step 5: Solve for x
    x = 69,658,845.79/5,472.94
  6. Step 6: Final answer
    x = 12,727.87

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.