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Finding the Third Proportional to 6,828 and 11,334

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Solution

The third proportional to 6,828 and 11,334 is: 18,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828 : 11,334 = 11,334 : x
  2. Step 2: Convert to fraction form
    6,828/11,334 = 11,334/x
  3. Step 3: Cross multiply
    6,828x = 11,334 × 11,334
  4. Step 4: Simplify right side
    6,828x = 128,459,556
  5. Step 5: Solve for x
    x = 128,459,556/6,828
  6. Step 6: Final answer
    x = 18,813.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.