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Finding the Third Proportional to 24,768.28 and 38,367.42

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Solution

The third proportional to 24,768.28 and 38,367.42 is: 59,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,768.28 : 38,367.42 = 38,367.42 : x
  2. Step 2: Convert to fraction form
    24,768.28/38,367.42 = 38,367.42/x
  3. Step 3: Cross multiply
    24,768.28x = 38,367.42 × 38,367.42
  4. Step 4: Simplify right side
    24,768.28x = 1,472,059,061.33
  5. Step 5: Solve for x
    x = 1,472,059,061.33/24,768.28
  6. Step 6: Final answer
    x = 59,433.23

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