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Finding the Third Proportional to 32,849.44 and 72,057.38

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Solution

The third proportional to 32,849.44 and 72,057.38 is: 158,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,849.44 : 72,057.38 = 72,057.38 : x
  2. Step 2: Convert to fraction form
    32,849.44/72,057.38 = 72,057.38/x
  3. Step 3: Cross multiply
    32,849.44x = 72,057.38 × 72,057.38
  4. Step 4: Simplify right side
    32,849.44x = 5,192,265,291.89
  5. Step 5: Solve for x
    x = 5,192,265,291.89/32,849.44
  6. Step 6: Final answer
    x = 158,062.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.