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Finding the Third Proportional to 22,869 and 49,926

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Solution

The third proportional to 22,869 and 49,926 is: 108,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,869 : 49,926 = 49,926 : x
  2. Step 2: Convert to fraction form
    22,869/49,926 = 49,926/x
  3. Step 3: Cross multiply
    22,869x = 49,926 × 49,926
  4. Step 4: Simplify right side
    22,869x = 2,492,605,476
  5. Step 5: Solve for x
    x = 2,492,605,476/22,869
  6. Step 6: Final answer
    x = 108,994.95

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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.