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Finding the Third Proportional to 32,754.38 and 49,739.06

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Solution

The third proportional to 32,754.38 and 49,739.06 is: 75,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,754.38 : 49,739.06 = 49,739.06 : x
  2. Step 2: Convert to fraction form
    32,754.38/49,739.06 = 49,739.06/x
  3. Step 3: Cross multiply
    32,754.38x = 49,739.06 × 49,739.06
  4. Step 4: Simplify right side
    32,754.38x = 2,473,974,338.38
  5. Step 5: Solve for x
    x = 2,473,974,338.38/32,754.38
  6. Step 6: Final answer
    x = 75,531.11

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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.