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Finding the Third Proportional to 33,241 and 70,784

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Solution

The third proportional to 33,241 and 70,784 is: 150,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,241 : 70,784 = 70,784 : x
  2. Step 2: Convert to fraction form
    33,241/70,784 = 70,784/x
  3. Step 3: Cross multiply
    33,241x = 70,784 × 70,784
  4. Step 4: Simplify right side
    33,241x = 5,010,374,656
  5. Step 5: Solve for x
    x = 5,010,374,656/33,241
  6. Step 6: Final answer
    x = 150,728.76

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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.