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Finding the Third Proportional to 9,906 and 11,322

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Solution

The third proportional to 9,906 and 11,322 is: 12,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 11,322 = 11,322 : x
  2. Step 2: Convert to fraction form
    9,906/11,322 = 11,322/x
  3. Step 3: Cross multiply
    9,906x = 11,322 × 11,322
  4. Step 4: Simplify right side
    9,906x = 128,187,684
  5. Step 5: Solve for x
    x = 128,187,684/9,906
  6. Step 6: Final answer
    x = 12,940.41

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.