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Finding the Third Proportional to 10,494 and 11,334

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Solution

The third proportional to 10,494 and 11,334 is: 12,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 11,334 = 11,334 : x
  2. Step 2: Convert to fraction form
    10,494/11,334 = 11,334/x
  3. Step 3: Cross multiply
    10,494x = 11,334 × 11,334
  4. Step 4: Simplify right side
    10,494x = 128,459,556
  5. Step 5: Solve for x
    x = 128,459,556/10,494
  6. Step 6: Final answer
    x = 12,241.24

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.