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Finding the Third Proportional to 1,034.96 and 2,274.96

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Solution

The third proportional to 1,034.96 and 2,274.96 is: 5,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.96 : 2,274.96 = 2,274.96 : x
  2. Step 2: Convert to fraction form
    1,034.96/2,274.96 = 2,274.96/x
  3. Step 3: Cross multiply
    1,034.96x = 2,274.96 × 2,274.96
  4. Step 4: Simplify right side
    1,034.96x = 5,175,447.27
  5. Step 5: Solve for x
    x = 5,175,447.27/1,034.96
  6. Step 6: Final answer
    x = 5,000.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.