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Finding the Third Proportional to 14,086 and 21,980

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Solution

The third proportional to 14,086 and 21,980 is: 34,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086 : 21,980 = 21,980 : x
  2. Step 2: Convert to fraction form
    14,086/21,980 = 21,980/x
  3. Step 3: Cross multiply
    14,086x = 21,980 × 21,980
  4. Step 4: Simplify right side
    14,086x = 483,120,400
  5. Step 5: Solve for x
    x = 483,120,400/14,086
  6. Step 6: Final answer
    x = 34,297.91

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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.