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Finding the Third Proportional to 9,686 and 14,551

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Solution

The third proportional to 9,686 and 14,551 is: 21,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686 : 14,551 = 14,551 : x
  2. Step 2: Convert to fraction form
    9,686/14,551 = 14,551/x
  3. Step 3: Cross multiply
    9,686x = 14,551 × 14,551
  4. Step 4: Simplify right side
    9,686x = 211,731,601
  5. Step 5: Solve for x
    x = 211,731,601/9,686
  6. Step 6: Final answer
    x = 21,859.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.