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Finding the Third Proportional to 12,022 and 26,231

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Solution

The third proportional to 12,022 and 26,231 is: 57,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022 : 26,231 = 26,231 : x
  2. Step 2: Convert to fraction form
    12,022/26,231 = 26,231/x
  3. Step 3: Cross multiply
    12,022x = 26,231 × 26,231
  4. Step 4: Simplify right side
    12,022x = 688,065,361
  5. Step 5: Solve for x
    x = 688,065,361/12,022
  6. Step 6: Final answer
    x = 57,233.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.