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Finding the Third Proportional to 1,549.13 and 3,143.81

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Solution

The third proportional to 1,549.13 and 3,143.81 is: 6,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.13 : 3,143.81 = 3,143.81 : x
  2. Step 2: Convert to fraction form
    1,549.13/3,143.81 = 3,143.81/x
  3. Step 3: Cross multiply
    1,549.13x = 3,143.81 × 3,143.81
  4. Step 4: Simplify right side
    1,549.13x = 9,883,557.04
  5. Step 5: Solve for x
    x = 9,883,557.04/1,549.13
  6. Step 6: Final answer
    x = 6,380.09

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.