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Finding the Third Proportional to 34,864 and 75,772

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Solution

The third proportional to 34,864 and 75,772 is: 164,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,864 : 75,772 = 75,772 : x
  2. Step 2: Convert to fraction form
    34,864/75,772 = 75,772/x
  3. Step 3: Cross multiply
    34,864x = 75,772 × 75,772
  4. Step 4: Simplify right side
    34,864x = 5,741,395,984
  5. Step 5: Solve for x
    x = 5,741,395,984/34,864
  6. Step 6: Final answer
    x = 164,679.78

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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.