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Finding the Third Proportional to 34,622 and 75,832

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Solution

The third proportional to 34,622 and 75,832 is: 166,093.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,622 : 75,832 = 75,832 : x
  2. Step 2: Convert to fraction form
    34,622/75,832 = 75,832/x
  3. Step 3: Cross multiply
    34,622x = 75,832 × 75,832
  4. Step 4: Simplify right side
    34,622x = 5,750,492,224
  5. Step 5: Solve for x
    x = 5,750,492,224/34,622
  6. Step 6: Final answer
    x = 166,093.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.