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Finding the Third Proportional to 24,828.75 and 36,757.13

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Solution

The third proportional to 24,828.75 and 36,757.13 is: 54,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.75 : 36,757.13 = 36,757.13 : x
  2. Step 2: Convert to fraction form
    24,828.75/36,757.13 = 36,757.13/x
  3. Step 3: Cross multiply
    24,828.75x = 36,757.13 × 36,757.13
  4. Step 4: Simplify right side
    24,828.75x = 1,351,086,238.27
  5. Step 5: Solve for x
    x = 1,351,086,238.27/24,828.75
  6. Step 6: Final answer
    x = 54,416.20

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.