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Finding the Third Proportional to 24,182.44 and 32,252.06

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Solution

The third proportional to 24,182.44 and 32,252.06 is: 43,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.44 : 32,252.06 = 32,252.06 : x
  2. Step 2: Convert to fraction form
    24,182.44/32,252.06 = 32,252.06/x
  3. Step 3: Cross multiply
    24,182.44x = 32,252.06 × 32,252.06
  4. Step 4: Simplify right side
    24,182.44x = 1,040,195,535.50
  5. Step 5: Solve for x
    x = 1,040,195,535.50/24,182.44
  6. Step 6: Final answer
    x = 43,014.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.