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Finding the Third Proportional to 14,101 and 21,961

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Solution

The third proportional to 14,101 and 21,961 is: 34,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101 : 21,961 = 21,961 : x
  2. Step 2: Convert to fraction form
    14,101/21,961 = 21,961/x
  3. Step 3: Cross multiply
    14,101x = 21,961 × 21,961
  4. Step 4: Simplify right side
    14,101x = 482,285,521
  5. Step 5: Solve for x
    x = 482,285,521/14,101
  6. Step 6: Final answer
    x = 34,202.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.