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Finding the Third Proportional to 11,622 and 17,459

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Solution

The third proportional to 11,622 and 17,459 is: 26,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622 : 17,459 = 17,459 : x
  2. Step 2: Convert to fraction form
    11,622/17,459 = 17,459/x
  3. Step 3: Cross multiply
    11,622x = 17,459 × 17,459
  4. Step 4: Simplify right side
    11,622x = 304,816,681
  5. Step 5: Solve for x
    x = 304,816,681/11,622
  6. Step 6: Final answer
    x = 26,227.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.