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Finding the Third Proportional to 32,096.25 and 49,359.38

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Solution

The third proportional to 32,096.25 and 49,359.38 is: 75,907.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,096.25 : 49,359.38 = 49,359.38 : x
  2. Step 2: Convert to fraction form
    32,096.25/49,359.38 = 49,359.38/x
  3. Step 3: Cross multiply
    32,096.25x = 49,359.38 × 49,359.38
  4. Step 4: Simplify right side
    32,096.25x = 2,436,347,900.39
  5. Step 5: Solve for x
    x = 2,436,347,900.39/32,096.25
  6. Step 6: Final answer
    x = 75,907.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.