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Finding the Third Proportional to 4,458.80 and 9,766.41

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Solution

The third proportional to 4,458.80 and 9,766.41 is: 21,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.80 : 9,766.41 = 9,766.41 : x
  2. Step 2: Convert to fraction form
    4,458.80/9,766.41 = 9,766.41/x
  3. Step 3: Cross multiply
    4,458.80x = 9,766.41 × 9,766.41
  4. Step 4: Simplify right side
    4,458.80x = 95,382,691.04
  5. Step 5: Solve for x
    x = 95,382,691.04/4,458.80
  6. Step 6: Final answer
    x = 21,392.02

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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.