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Finding the Third Proportional to 9,762 and 11,874

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Solution

The third proportional to 9,762 and 11,874 is: 14,442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762 : 11,874 = 11,874 : x
  2. Step 2: Convert to fraction form
    9,762/11,874 = 11,874/x
  3. Step 3: Cross multiply
    9,762x = 11,874 × 11,874
  4. Step 4: Simplify right side
    9,762x = 140,991,876
  5. Step 5: Solve for x
    x = 140,991,876/9,762
  6. Step 6: Final answer
    x = 14,442.93

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.