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Finding the Third Proportional to 33,251.91 and 70,817.06

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Solution

The third proportional to 33,251.91 and 70,817.06 is: 150,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,251.91 : 70,817.06 = 70,817.06 : x
  2. Step 2: Convert to fraction form
    33,251.91/70,817.06 = 70,817.06/x
  3. Step 3: Cross multiply
    33,251.91x = 70,817.06 × 70,817.06
  4. Step 4: Simplify right side
    33,251.91x = 5,015,056,341.13
  5. Step 5: Solve for x
    x = 5,015,056,341.13/33,251.91
  6. Step 6: Final answer
    x = 150,820.12

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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.