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Finding the Third Proportional to 13,974 and 20,961

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Solution

The third proportional to 13,974 and 20,961 is: 31,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974 : 20,961 = 20,961 : x
  2. Step 2: Convert to fraction form
    13,974/20,961 = 20,961/x
  3. Step 3: Cross multiply
    13,974x = 20,961 × 20,961
  4. Step 4: Simplify right side
    13,974x = 439,363,521
  5. Step 5: Solve for x
    x = 439,363,521/13,974
  6. Step 6: Final answer
    x = 31,441.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.