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Finding the Third Proportional to 24,331.75 and 32,738.50

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Solution

The third proportional to 24,331.75 and 32,738.50 is: 44,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.75 : 32,738.50 = 32,738.50 : x
  2. Step 2: Convert to fraction form
    24,331.75/32,738.50 = 32,738.50/x
  3. Step 3: Cross multiply
    24,331.75x = 32,738.50 × 32,738.50
  4. Step 4: Simplify right side
    24,331.75x = 1,071,809,382.25
  5. Step 5: Solve for x
    x = 1,071,809,382.25/24,331.75
  6. Step 6: Final answer
    x = 44,049.83

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.