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Finding the Third Proportional to 21,974 and 48,694

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Solution

The third proportional to 21,974 and 48,694 is: 107,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974 : 48,694 = 48,694 : x
  2. Step 2: Convert to fraction form
    21,974/48,694 = 48,694/x
  3. Step 3: Cross multiply
    21,974x = 48,694 × 48,694
  4. Step 4: Simplify right side
    21,974x = 2,371,105,636
  5. Step 5: Solve for x
    x = 2,371,105,636/21,974
  6. Step 6: Final answer
    x = 107,905.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.