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Finding the Third Proportional to 33,018 and 71,202

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Solution

The third proportional to 33,018 and 71,202 is: 153,544.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018 : 71,202 = 71,202 : x
  2. Step 2: Convert to fraction form
    33,018/71,202 = 71,202/x
  3. Step 3: Cross multiply
    33,018x = 71,202 × 71,202
  4. Step 4: Simplify right side
    33,018x = 5,069,724,804
  5. Step 5: Solve for x
    x = 5,069,724,804/33,018
  6. Step 6: Final answer
    x = 153,544.27

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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.