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Finding the Third Proportional to 6.75 and 42.19

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Solution

The third proportional to 6.75 and 42.19 is: 263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.75 : 42.19 = 42.19 : x
  2. Step 2: Convert to fraction form
    6.75/42.19 = 42.19/x
  3. Step 3: Cross multiply
    6.75x = 42.19 × 42.19
  4. Step 4: Simplify right side
    6.75x = 1,779.79
  5. Step 5: Solve for x
    x = 1,779.79/6.75
  6. Step 6: Final answer
    x = 263.67

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Why These Related Problems?

These problems maintain the same ratio (6.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.