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Finding the Third Proportional to 17,974 and 36,434

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Solution

The third proportional to 17,974 and 36,434 is: 73,853.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,974 : 36,434 = 36,434 : x
  2. Step 2: Convert to fraction form
    17,974/36,434 = 36,434/x
  3. Step 3: Cross multiply
    17,974x = 36,434 × 36,434
  4. Step 4: Simplify right side
    17,974x = 1,327,436,356
  5. Step 5: Solve for x
    x = 1,327,436,356/17,974
  6. Step 6: Final answer
    x = 73,853.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.