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Finding the Third Proportional to 1,817.44 and 3,981.66

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Solution

The third proportional to 1,817.44 and 3,981.66 is: 8,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.44 : 3,981.66 = 3,981.66 : x
  2. Step 2: Convert to fraction form
    1,817.44/3,981.66 = 3,981.66/x
  3. Step 3: Cross multiply
    1,817.44x = 3,981.66 × 3,981.66
  4. Step 4: Simplify right side
    1,817.44x = 15,853,586.49
  5. Step 5: Solve for x
    x = 15,853,586.49/1,817.44
  6. Step 6: Final answer
    x = 8,723.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.