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Finding the Third Proportional to 1,064.39 and 2,338.56

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Solution

The third proportional to 1,064.39 and 2,338.56 is: 5,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.39 : 2,338.56 = 2,338.56 : x
  2. Step 2: Convert to fraction form
    1,064.39/2,338.56 = 2,338.56/x
  3. Step 3: Cross multiply
    1,064.39x = 2,338.56 × 2,338.56
  4. Step 4: Simplify right side
    1,064.39x = 5,468,856.30
  5. Step 5: Solve for x
    x = 5,468,856.30/1,064.39
  6. Step 6: Final answer
    x = 5,138.02

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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.