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Finding the Third Proportional to 2,256.13 and 3,394

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Solution

The third proportional to 2,256.13 and 3,394 is: 5,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.13 : 3,394 = 3,394 : x
  2. Step 2: Convert to fraction form
    2,256.13/3,394 = 3,394/x
  3. Step 3: Cross multiply
    2,256.13x = 3,394 × 3,394
  4. Step 4: Simplify right side
    2,256.13x = 11,519,236
  5. Step 5: Solve for x
    x = 11,519,236/2,256.13
  6. Step 6: Final answer
    x = 5,105.76

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