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Finding the Third Proportional to 4,348.69 and 9,512.44

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Solution

The third proportional to 4,348.69 and 9,512.44 is: 20,807.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.69 : 9,512.44 = 9,512.44 : x
  2. Step 2: Convert to fraction form
    4,348.69/9,512.44 = 9,512.44/x
  3. Step 3: Cross multiply
    4,348.69x = 9,512.44 × 9,512.44
  4. Step 4: Simplify right side
    4,348.69x = 90,486,467.19
  5. Step 5: Solve for x
    x = 90,486,467.19/4,348.69
  6. Step 6: Final answer
    x = 20,807.76

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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.