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Finding the Third Proportional to 4,613.20 and 10,149.05

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Solution

The third proportional to 4,613.20 and 10,149.05 is: 22,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.20 : 10,149.05 = 10,149.05 : x
  2. Step 2: Convert to fraction form
    4,613.20/10,149.05 = 10,149.05/x
  3. Step 3: Cross multiply
    4,613.20x = 10,149.05 × 10,149.05
  4. Step 4: Simplify right side
    4,613.20x = 103,003,152.47
  5. Step 5: Solve for x
    x = 103,003,152.47/4,613.20
  6. Step 6: Final answer
    x = 22,327.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.