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Finding the Third Proportional to 33,202 and 71,683

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Solution

The third proportional to 33,202 and 71,683 is: 154,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202 : 71,683 = 71,683 : x
  2. Step 2: Convert to fraction form
    33,202/71,683 = 71,683/x
  3. Step 3: Cross multiply
    33,202x = 71,683 × 71,683
  4. Step 4: Simplify right side
    33,202x = 5,138,452,489
  5. Step 5: Solve for x
    x = 5,138,452,489/33,202
  6. Step 6: Final answer
    x = 154,763.34

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Why These Related Problems?

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