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Finding the Third Proportional to 2,161.69 and 3,248.86

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Solution

The third proportional to 2,161.69 and 3,248.86 is: 4,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.69 : 3,248.86 = 3,248.86 : x
  2. Step 2: Convert to fraction form
    2,161.69/3,248.86 = 3,248.86/x
  3. Step 3: Cross multiply
    2,161.69x = 3,248.86 × 3,248.86
  4. Step 4: Simplify right side
    2,161.69x = 10,555,087.24
  5. Step 5: Solve for x
    x = 10,555,087.24/2,161.69
  6. Step 6: Final answer
    x = 4,882.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.