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Finding the Third Proportional to 14,233 and 21,991

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Solution

The third proportional to 14,233 and 21,991 is: 33,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233 : 21,991 = 21,991 : x
  2. Step 2: Convert to fraction form
    14,233/21,991 = 21,991/x
  3. Step 3: Cross multiply
    14,233x = 21,991 × 21,991
  4. Step 4: Simplify right side
    14,233x = 483,604,081
  5. Step 5: Solve for x
    x = 483,604,081/14,233
  6. Step 6: Final answer
    x = 33,977.66

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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.