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Finding the Third Proportional to 33,291 and 75,816

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Solution

The third proportional to 33,291 and 75,816 is: 172,661.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,291 : 75,816 = 75,816 : x
  2. Step 2: Convert to fraction form
    33,291/75,816 = 75,816/x
  3. Step 3: Cross multiply
    33,291x = 75,816 × 75,816
  4. Step 4: Simplify right side
    33,291x = 5,748,065,856
  5. Step 5: Solve for x
    x = 5,748,065,856/33,291
  6. Step 6: Final answer
    x = 172,661.26

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.