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Finding the Third Proportional to 4,613.20 and 10,610.37

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Solution

The third proportional to 4,613.20 and 10,610.37 is: 24,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.20 : 10,610.37 = 10,610.37 : x
  2. Step 2: Convert to fraction form
    4,613.20/10,610.37 = 10,610.37/x
  3. Step 3: Cross multiply
    4,613.20x = 10,610.37 × 10,610.37
  4. Step 4: Simplify right side
    4,613.20x = 112,579,891.85
  5. Step 5: Solve for x
    x = 112,579,891.85/4,613.20
  6. Step 6: Final answer
    x = 24,403.84

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.