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Finding the Third Proportional to 2,404.05 and 5,280.82

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Solution

The third proportional to 2,404.05 and 5,280.82 is: 11,600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.05 : 5,280.82 = 5,280.82 : x
  2. Step 2: Convert to fraction form
    2,404.05/5,280.82 = 5,280.82/x
  3. Step 3: Cross multiply
    2,404.05x = 5,280.82 × 5,280.82
  4. Step 4: Simplify right side
    2,404.05x = 27,887,063.17
  5. Step 5: Solve for x
    x = 27,887,063.17/2,404.05
  6. Step 6: Final answer
    x = 11,600.01

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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.