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Finding the Third Proportional to 32,759.44 and 49,010.06

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Solution

The third proportional to 32,759.44 and 49,010.06 is: 73,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,759.44 : 49,010.06 = 49,010.06 : x
  2. Step 2: Convert to fraction form
    32,759.44/49,010.06 = 49,010.06/x
  3. Step 3: Cross multiply
    32,759.44x = 49,010.06 × 49,010.06
  4. Step 4: Simplify right side
    32,759.44x = 2,401,986,226.25
  5. Step 5: Solve for x
    x = 2,401,986,226.25/32,759.44
  6. Step 6: Final answer
    x = 73,321.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.