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Finding the Third Proportional to 23,323.50 and 32,087.25

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Solution

The third proportional to 23,323.50 and 32,087.25 is: 44,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,323.50 : 32,087.25 = 32,087.25 : x
  2. Step 2: Convert to fraction form
    23,323.50/32,087.25 = 32,087.25/x
  3. Step 3: Cross multiply
    23,323.50x = 32,087.25 × 32,087.25
  4. Step 4: Simplify right side
    23,323.50x = 1,029,591,612.56
  5. Step 5: Solve for x
    x = 1,029,591,612.56/23,323.50
  6. Step 6: Final answer
    x = 44,143.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.