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Finding the Third Proportional to 9,754 and 11,962

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Solution

The third proportional to 9,754 and 11,962 is: 14,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754 : 11,962 = 11,962 : x
  2. Step 2: Convert to fraction form
    9,754/11,962 = 11,962/x
  3. Step 3: Cross multiply
    9,754x = 11,962 × 11,962
  4. Step 4: Simplify right side
    9,754x = 143,089,444
  5. Step 5: Solve for x
    x = 143,089,444/9,754
  6. Step 6: Final answer
    x = 14,669.82

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.