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Finding the Third Proportional to 33,058 and 71,489

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Solution

The third proportional to 33,058 and 71,489 is: 154,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,058 : 71,489 = 71,489 : x
  2. Step 2: Convert to fraction form
    33,058/71,489 = 71,489/x
  3. Step 3: Cross multiply
    33,058x = 71,489 × 71,489
  4. Step 4: Simplify right side
    33,058x = 5,110,677,121
  5. Step 5: Solve for x
    x = 5,110,677,121/33,058
  6. Step 6: Final answer
    x = 154,597.29

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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.