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Finding the Third Proportional to 6.84 and 10.50

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Solution

The third proportional to 6.84 and 10.50 is: 16.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.84 : 10.50 = 10.50 : x
  2. Step 2: Convert to fraction form
    6.84/10.50 = 10.50/x
  3. Step 3: Cross multiply
    6.84x = 10.50 × 10.50
  4. Step 4: Simplify right side
    6.84x = 110.25
  5. Step 5: Solve for x
    x = 110.25/6.84
  6. Step 6: Final answer
    x = 16.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.