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Finding the Third Proportional to 2,458.69 and 4,794.19

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Solution

The third proportional to 2,458.69 and 4,794.19 is: 9,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.69 : 4,794.19 = 4,794.19 : x
  2. Step 2: Convert to fraction form
    2,458.69/4,794.19 = 4,794.19/x
  3. Step 3: Cross multiply
    2,458.69x = 4,794.19 × 4,794.19
  4. Step 4: Simplify right side
    2,458.69x = 22,984,233.79
  5. Step 5: Solve for x
    x = 22,984,233.79/2,458.69
  6. Step 6: Final answer
    x = 9,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.