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Finding the Third Proportional to 22,672.13 and 32,235.75

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Solution

The third proportional to 22,672.13 and 32,235.75 is: 45,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.13 : 32,235.75 = 32,235.75 : x
  2. Step 2: Convert to fraction form
    22,672.13/32,235.75 = 32,235.75/x
  3. Step 3: Cross multiply
    22,672.13x = 32,235.75 × 32,235.75
  4. Step 4: Simplify right side
    22,672.13x = 1,039,143,578.06
  5. Step 5: Solve for x
    x = 1,039,143,578.06/22,672.13
  6. Step 6: Final answer
    x = 45,833.53

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.