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Finding the Third Proportional to 9,927 and 13,914

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Solution

The third proportional to 9,927 and 13,914 is: 19,502.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927 : 13,914 = 13,914 : x
  2. Step 2: Convert to fraction form
    9,927/13,914 = 13,914/x
  3. Step 3: Cross multiply
    9,927x = 13,914 × 13,914
  4. Step 4: Simplify right side
    9,927x = 193,599,396
  5. Step 5: Solve for x
    x = 193,599,396/9,927
  6. Step 6: Final answer
    x = 19,502.31

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.