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Finding the Third Proportional to 3,729.94 and 5,586.19

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Solution

The third proportional to 3,729.94 and 5,586.19 is: 8,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.94 : 5,586.19 = 5,586.19 : x
  2. Step 2: Convert to fraction form
    3,729.94/5,586.19 = 5,586.19/x
  3. Step 3: Cross multiply
    3,729.94x = 5,586.19 × 5,586.19
  4. Step 4: Simplify right side
    3,729.94x = 31,205,490.79
  5. Step 5: Solve for x
    x = 31,205,490.79/3,729.94
  6. Step 6: Final answer
    x = 8,366.22

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Why These Related Problems?

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