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Finding the Third Proportional to 24,644.25 and 38,230.31

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Solution

The third proportional to 24,644.25 and 38,230.31 is: 59,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.25 : 38,230.31 = 38,230.31 : x
  2. Step 2: Convert to fraction form
    24,644.25/38,230.31 = 38,230.31/x
  3. Step 3: Cross multiply
    24,644.25x = 38,230.31 × 38,230.31
  4. Step 4: Simplify right side
    24,644.25x = 1,461,556,793.85
  5. Step 5: Solve for x
    x = 1,461,556,793.85/24,644.25
  6. Step 6: Final answer
    x = 59,306.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.