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Finding the Third Proportional to 16,974 and 27,933

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Solution

The third proportional to 16,974 and 27,933 is: 45,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974 : 27,933 = 27,933 : x
  2. Step 2: Convert to fraction form
    16,974/27,933 = 27,933/x
  3. Step 3: Cross multiply
    16,974x = 27,933 × 27,933
  4. Step 4: Simplify right side
    16,974x = 780,252,489
  5. Step 5: Solve for x
    x = 780,252,489/16,974
  6. Step 6: Final answer
    x = 45,967.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.