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Finding the Third Proportional to 33,081 and 71,346

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Solution

The third proportional to 33,081 and 71,346 is: 153,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,081 : 71,346 = 71,346 : x
  2. Step 2: Convert to fraction form
    33,081/71,346 = 71,346/x
  3. Step 3: Cross multiply
    33,081x = 71,346 × 71,346
  4. Step 4: Simplify right side
    33,081x = 5,090,251,716
  5. Step 5: Solve for x
    x = 5,090,251,716/33,081
  6. Step 6: Final answer
    x = 153,872.37

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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.