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Finding the Third Proportional to 9,910 and 11,044

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Solution

The third proportional to 9,910 and 11,044 is: 12,307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910 : 11,044 = 11,044 : x
  2. Step 2: Convert to fraction form
    9,910/11,044 = 11,044/x
  3. Step 3: Cross multiply
    9,910x = 11,044 × 11,044
  4. Step 4: Simplify right side
    9,910x = 121,969,936
  5. Step 5: Solve for x
    x = 121,969,936/9,910
  6. Step 6: Final answer
    x = 12,307.76

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.