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Finding the Third Proportional to 33,984.56 and 72,340.59

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Solution

The third proportional to 33,984.56 and 72,340.59 is: 153,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984.56 : 72,340.59 = 72,340.59 : x
  2. Step 2: Convert to fraction form
    33,984.56/72,340.59 = 72,340.59/x
  3. Step 3: Cross multiply
    33,984.56x = 72,340.59 × 72,340.59
  4. Step 4: Simplify right side
    33,984.56x = 5,233,161,504.10
  5. Step 5: Solve for x
    x = 5,233,161,504.10/33,984.56
  6. Step 6: Final answer
    x = 153,986.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.