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Finding the Third Proportional to 14,196 and 19,974

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Solution

The third proportional to 14,196 and 19,974 is: 28,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196 : 19,974 = 19,974 : x
  2. Step 2: Convert to fraction form
    14,196/19,974 = 19,974/x
  3. Step 3: Cross multiply
    14,196x = 19,974 × 19,974
  4. Step 4: Simplify right side
    14,196x = 398,960,676
  5. Step 5: Solve for x
    x = 398,960,676/14,196
  6. Step 6: Final answer
    x = 28,103.74

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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.