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Finding the Third Proportional to 24,756.75 and 36,589.13

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Solution

The third proportional to 24,756.75 and 36,589.13 is: 54,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756.75 : 36,589.13 = 36,589.13 : x
  2. Step 2: Convert to fraction form
    24,756.75/36,589.13 = 36,589.13/x
  3. Step 3: Cross multiply
    24,756.75x = 36,589.13 × 36,589.13
  4. Step 4: Simplify right side
    24,756.75x = 1,338,764,068.27
  5. Step 5: Solve for x
    x = 1,338,764,068.27/24,756.75
  6. Step 6: Final answer
    x = 54,076.73

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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.