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Finding the Third Proportional to 2,479.68 and 3,841.96

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Solution

The third proportional to 2,479.68 and 3,841.96 is: 5,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479.68 : 3,841.96 = 3,841.96 : x
  2. Step 2: Convert to fraction form
    2,479.68/3,841.96 = 3,841.96/x
  3. Step 3: Cross multiply
    2,479.68x = 3,841.96 × 3,841.96
  4. Step 4: Simplify right side
    2,479.68x = 14,760,678.85
  5. Step 5: Solve for x
    x = 14,760,678.85/2,479.68
  6. Step 6: Final answer
    x = 5,952.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.