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Finding the Third Proportional to 5,624.81 and 8,391.56

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Solution

The third proportional to 5,624.81 and 8,391.56 is: 12,519.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.81 : 8,391.56 = 8,391.56 : x
  2. Step 2: Convert to fraction form
    5,624.81/8,391.56 = 8,391.56/x
  3. Step 3: Cross multiply
    5,624.81x = 8,391.56 × 8,391.56
  4. Step 4: Simplify right side
    5,624.81x = 70,418,321.19
  5. Step 5: Solve for x
    x = 70,418,321.19/5,624.81
  6. Step 6: Final answer
    x = 12,519.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.