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Finding the Third Proportional to 33,021 and 70,983

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Solution

The third proportional to 33,021 and 70,983 is: 152,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,021 : 70,983 = 70,983 : x
  2. Step 2: Convert to fraction form
    33,021/70,983 = 70,983/x
  3. Step 3: Cross multiply
    33,021x = 70,983 × 70,983
  4. Step 4: Simplify right side
    33,021x = 5,038,586,289
  5. Step 5: Solve for x
    x = 5,038,586,289/33,021
  6. Step 6: Final answer
    x = 152,587.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.