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Finding the Third Proportional to 32,947.31 and 50,196.38

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Solution

The third proportional to 32,947.31 and 50,196.38 is: 76,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.31 : 50,196.38 = 50,196.38 : x
  2. Step 2: Convert to fraction form
    32,947.31/50,196.38 = 50,196.38/x
  3. Step 3: Cross multiply
    32,947.31x = 50,196.38 × 50,196.38
  4. Step 4: Simplify right side
    32,947.31x = 2,519,676,063.14
  5. Step 5: Solve for x
    x = 2,519,676,063.14/32,947.31
  6. Step 6: Final answer
    x = 76,475.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.