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Finding the Third Proportional to 14,199 and 21,963

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Solution

The third proportional to 14,199 and 21,963 is: 33,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,199 : 21,963 = 21,963 : x
  2. Step 2: Convert to fraction form
    14,199/21,963 = 21,963/x
  3. Step 3: Cross multiply
    14,199x = 21,963 × 21,963
  4. Step 4: Simplify right side
    14,199x = 482,373,369
  5. Step 5: Solve for x
    x = 482,373,369/14,199
  6. Step 6: Final answer
    x = 33,972.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.