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Finding the Third Proportional to 23,974 and 51,206

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Solution

The third proportional to 23,974 and 51,206 is: 109,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,974 : 51,206 = 51,206 : x
  2. Step 2: Convert to fraction form
    23,974/51,206 = 51,206/x
  3. Step 3: Cross multiply
    23,974x = 51,206 × 51,206
  4. Step 4: Simplify right side
    23,974x = 2,622,054,436
  5. Step 5: Solve for x
    x = 2,622,054,436/23,974
  6. Step 6: Final answer
    x = 109,370.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.