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Finding the Third Proportional to 33,286 and 71,468

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Solution

The third proportional to 33,286 and 71,468 is: 153,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,286 : 71,468 = 71,468 : x
  2. Step 2: Convert to fraction form
    33,286/71,468 = 71,468/x
  3. Step 3: Cross multiply
    33,286x = 71,468 × 71,468
  4. Step 4: Simplify right side
    33,286x = 5,107,675,024
  5. Step 5: Solve for x
    x = 5,107,675,024/33,286
  6. Step 6: Final answer
    x = 153,448.15

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Why These Related Problems?

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