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Finding the Third Proportional to 34,824 and 75,864

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Solution

The third proportional to 34,824 and 75,864 is: 165,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,824 : 75,864 = 75,864 : x
  2. Step 2: Convert to fraction form
    34,824/75,864 = 75,864/x
  3. Step 3: Cross multiply
    34,824x = 75,864 × 75,864
  4. Step 4: Simplify right side
    34,824x = 5,755,346,496
  5. Step 5: Solve for x
    x = 5,755,346,496/34,824
  6. Step 6: Final answer
    x = 165,269.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.