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Finding the Third Proportional to 24,627.75 and 38,096.25

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Solution

The third proportional to 24,627.75 and 38,096.25 is: 58,930.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,627.75 : 38,096.25 = 38,096.25 : x
  2. Step 2: Convert to fraction form
    24,627.75/38,096.25 = 38,096.25/x
  3. Step 3: Cross multiply
    24,627.75x = 38,096.25 × 38,096.25
  4. Step 4: Simplify right side
    24,627.75x = 1,451,324,264.06
  5. Step 5: Solve for x
    x = 1,451,324,264.06/24,627.75
  6. Step 6: Final answer
    x = 58,930.44

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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.