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Finding the Third Proportional to 1,228.05 and 2,650.46

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Solution

The third proportional to 1,228.05 and 2,650.46 is: 5,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.05 : 2,650.46 = 2,650.46 : x
  2. Step 2: Convert to fraction form
    1,228.05/2,650.46 = 2,650.46/x
  3. Step 3: Cross multiply
    1,228.05x = 2,650.46 × 2,650.46
  4. Step 4: Simplify right side
    1,228.05x = 7,024,917.30
  5. Step 5: Solve for x
    x = 7,024,917.30/1,228.05
  6. Step 6: Final answer
    x = 5,720.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.