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Finding the Third Proportional to 2,143.13 and 3,277.97

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Solution

The third proportional to 2,143.13 and 3,277.97 is: 5,013.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.13 : 3,277.97 = 3,277.97 : x
  2. Step 2: Convert to fraction form
    2,143.13/3,277.97 = 3,277.97/x
  3. Step 3: Cross multiply
    2,143.13x = 3,277.97 × 3,277.97
  4. Step 4: Simplify right side
    2,143.13x = 10,745,079.13
  5. Step 5: Solve for x
    x = 10,745,079.13/2,143.13
  6. Step 6: Final answer
    x = 5,013.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.