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Finding the Third Proportional to 15,620 and 21,974

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Solution

The third proportional to 15,620 and 21,974 is: 30,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,620 : 21,974 = 21,974 : x
  2. Step 2: Convert to fraction form
    15,620/21,974 = 21,974/x
  3. Step 3: Cross multiply
    15,620x = 21,974 × 21,974
  4. Step 4: Simplify right side
    15,620x = 482,856,676
  5. Step 5: Solve for x
    x = 482,856,676/15,620
  6. Step 6: Final answer
    x = 30,912.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.