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Finding the Third Proportional to 2,145.38 and 2,691.56

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Solution

The third proportional to 2,145.38 and 2,691.56 is: 3,376.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.38 : 2,691.56 = 2,691.56 : x
  2. Step 2: Convert to fraction form
    2,145.38/2,691.56 = 2,691.56/x
  3. Step 3: Cross multiply
    2,145.38x = 2,691.56 × 2,691.56
  4. Step 4: Simplify right side
    2,145.38x = 7,244,508.69
  5. Step 5: Solve for x
    x = 7,244,508.69/2,145.38
  6. Step 6: Final answer
    x = 3,376.80

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.