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Finding the Third Proportional to 22,141 and 47,974

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Solution

The third proportional to 22,141 and 47,974 is: 103,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,141 : 47,974 = 47,974 : x
  2. Step 2: Convert to fraction form
    22,141/47,974 = 47,974/x
  3. Step 3: Cross multiply
    22,141x = 47,974 × 47,974
  4. Step 4: Simplify right side
    22,141x = 2,301,504,676
  5. Step 5: Solve for x
    x = 2,301,504,676/22,141
  6. Step 6: Final answer
    x = 103,947.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.