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Finding the Third Proportional to 24,232.50 and 32,732.25

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Solution

The third proportional to 24,232.50 and 32,732.25 is: 44,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.50 : 32,732.25 = 32,732.25 : x
  2. Step 2: Convert to fraction form
    24,232.50/32,732.25 = 32,732.25/x
  3. Step 3: Cross multiply
    24,232.50x = 32,732.25 × 32,732.25
  4. Step 4: Simplify right side
    24,232.50x = 1,071,400,190.06
  5. Step 5: Solve for x
    x = 1,071,400,190.06/24,232.50
  6. Step 6: Final answer
    x = 44,213.36

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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.