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Finding the Third Proportional to 17,622 and 34,424

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Solution

The third proportional to 17,622 and 34,424 is: 67,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622 : 34,424 = 34,424 : x
  2. Step 2: Convert to fraction form
    17,622/34,424 = 34,424/x
  3. Step 3: Cross multiply
    17,622x = 34,424 × 34,424
  4. Step 4: Simplify right side
    17,622x = 1,185,011,776
  5. Step 5: Solve for x
    x = 1,185,011,776/17,622
  6. Step 6: Final answer
    x = 67,246.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.