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Finding the Third Proportional to 24,591.75 and 52,767.75

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Solution

The third proportional to 24,591.75 and 52,767.75 is: 113,226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,591.75 : 52,767.75 = 52,767.75 : x
  2. Step 2: Convert to fraction form
    24,591.75/52,767.75 = 52,767.75/x
  3. Step 3: Cross multiply
    24,591.75x = 52,767.75 × 52,767.75
  4. Step 4: Simplify right side
    24,591.75x = 2,784,435,440.06
  5. Step 5: Solve for x
    x = 2,784,435,440.06/24,591.75
  6. Step 6: Final answer
    x = 113,226.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.