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Finding the Third Proportional to 16,331.75 and 24,433.75

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Solution

The third proportional to 16,331.75 and 24,433.75 is: 36,555.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,331.75 : 24,433.75 = 24,433.75 : x
  2. Step 2: Convert to fraction form
    16,331.75/24,433.75 = 24,433.75/x
  3. Step 3: Cross multiply
    16,331.75x = 24,433.75 × 24,433.75
  4. Step 4: Simplify right side
    16,331.75x = 597,008,139.06
  5. Step 5: Solve for x
    x = 597,008,139.06/16,331.75
  6. Step 6: Final answer
    x = 36,555.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.