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Finding the Third Proportional to 2,044.69 and 4,479.19

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Solution

The third proportional to 2,044.69 and 4,479.19 is: 9,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.69 : 4,479.19 = 4,479.19 : x
  2. Step 2: Convert to fraction form
    2,044.69/4,479.19 = 4,479.19/x
  3. Step 3: Cross multiply
    2,044.69x = 4,479.19 × 4,479.19
  4. Step 4: Simplify right side
    2,044.69x = 20,063,120.66
  5. Step 5: Solve for x
    x = 20,063,120.66/2,044.69
  6. Step 6: Final answer
    x = 9,812.32

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Why These Related Problems?

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