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Finding the Third Proportional to 22,974 and 33,124

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Solution

The third proportional to 22,974 and 33,124 is: 47,758.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974 : 33,124 = 33,124 : x
  2. Step 2: Convert to fraction form
    22,974/33,124 = 33,124/x
  3. Step 3: Cross multiply
    22,974x = 33,124 × 33,124
  4. Step 4: Simplify right side
    22,974x = 1,097,199,376
  5. Step 5: Solve for x
    x = 1,097,199,376/22,974
  6. Step 6: Final answer
    x = 47,758.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.