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Finding the Third Proportional to 34,882 and 75,674

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Solution

The third proportional to 34,882 and 75,674 is: 164,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882 : 75,674 = 75,674 : x
  2. Step 2: Convert to fraction form
    34,882/75,674 = 75,674/x
  3. Step 3: Cross multiply
    34,882x = 75,674 × 75,674
  4. Step 4: Simplify right side
    34,882x = 5,726,554,276
  5. Step 5: Solve for x
    x = 5,726,554,276/34,882
  6. Step 6: Final answer
    x = 164,169.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.