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Finding the Third Proportional to 33,610.89 and 72,734.84

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Solution

The third proportional to 33,610.89 and 72,734.84 is: 157,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,610.89 : 72,734.84 = 72,734.84 : x
  2. Step 2: Convert to fraction form
    33,610.89/72,734.84 = 72,734.84/x
  3. Step 3: Cross multiply
    33,610.89x = 72,734.84 × 72,734.84
  4. Step 4: Simplify right side
    33,610.89x = 5,290,356,358.86
  5. Step 5: Solve for x
    x = 5,290,356,358.86/33,610.89
  6. Step 6: Final answer
    x = 157,400.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.