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Finding the Third Proportional to 24,882.75 and 57,647.25

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Solution

The third proportional to 24,882.75 and 57,647.25 is: 133,554.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.75 : 57,647.25 = 57,647.25 : x
  2. Step 2: Convert to fraction form
    24,882.75/57,647.25 = 57,647.25/x
  3. Step 3: Cross multiply
    24,882.75x = 57,647.25 × 57,647.25
  4. Step 4: Simplify right side
    24,882.75x = 3,323,205,432.56
  5. Step 5: Solve for x
    x = 3,323,205,432.56/24,882.75
  6. Step 6: Final answer
    x = 133,554.59

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.