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Finding the Third Proportional to 2,462.91 and 5,404.85

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Solution

The third proportional to 2,462.91 and 5,404.85 is: 11,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.91 : 5,404.85 = 5,404.85 : x
  2. Step 2: Convert to fraction form
    2,462.91/5,404.85 = 5,404.85/x
  3. Step 3: Cross multiply
    2,462.91x = 5,404.85 × 5,404.85
  4. Step 4: Simplify right side
    2,462.91x = 29,212,420.41
  5. Step 5: Solve for x
    x = 29,212,420.41/2,462.91
  6. Step 6: Final answer
    x = 11,860.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.