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Finding the Third Proportional to 33,018 and 71,169

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Solution

The third proportional to 33,018 and 71,169 is: 153,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018 : 71,169 = 71,169 : x
  2. Step 2: Convert to fraction form
    33,018/71,169 = 71,169/x
  3. Step 3: Cross multiply
    33,018x = 71,169 × 71,169
  4. Step 4: Simplify right side
    33,018x = 5,065,026,561
  5. Step 5: Solve for x
    x = 5,065,026,561/33,018
  6. Step 6: Final answer
    x = 153,401.98

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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.