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Finding the Third Proportional to 6,800 and 10,912

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Solution

The third proportional to 6,800 and 10,912 is: 17,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800 : 10,912 = 10,912 : x
  2. Step 2: Convert to fraction form
    6,800/10,912 = 10,912/x
  3. Step 3: Cross multiply
    6,800x = 10,912 × 10,912
  4. Step 4: Simplify right side
    6,800x = 119,071,744
  5. Step 5: Solve for x
    x = 119,071,744/6,800
  6. Step 6: Final answer
    x = 17,510.55

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.