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Finding the Third Proportional to 33,042 and 70,692

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Solution

The third proportional to 33,042 and 70,692 is: 151,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,042 : 70,692 = 70,692 : x
  2. Step 2: Convert to fraction form
    33,042/70,692 = 70,692/x
  3. Step 3: Cross multiply
    33,042x = 70,692 × 70,692
  4. Step 4: Simplify right side
    33,042x = 4,997,358,864
  5. Step 5: Solve for x
    x = 4,997,358,864/33,042
  6. Step 6: Final answer
    x = 151,242.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.