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Finding the Third Proportional to 2,281.92 and 3,204.56

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Solution

The third proportional to 2,281.92 and 3,204.56 is: 4,500.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.92 : 3,204.56 = 3,204.56 : x
  2. Step 2: Convert to fraction form
    2,281.92/3,204.56 = 3,204.56/x
  3. Step 3: Cross multiply
    2,281.92x = 3,204.56 × 3,204.56
  4. Step 4: Simplify right side
    2,281.92x = 10,269,220.82
  5. Step 5: Solve for x
    x = 10,269,220.82/2,281.92
  6. Step 6: Final answer
    x = 4,500.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.