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Finding the Third Proportional to 33,662 and 70,805

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Solution

The third proportional to 33,662 and 70,805 is: 148,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,662 : 70,805 = 70,805 : x
  2. Step 2: Convert to fraction form
    33,662/70,805 = 70,805/x
  3. Step 3: Cross multiply
    33,662x = 70,805 × 70,805
  4. Step 4: Simplify right side
    33,662x = 5,013,348,025
  5. Step 5: Solve for x
    x = 5,013,348,025/33,662
  6. Step 6: Final answer
    x = 148,931.97

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.