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Finding the Third Proportional to 4.92 and 10.69

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Solution

The third proportional to 4.92 and 10.69 is: 23.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.92 : 10.69 = 10.69 : x
  2. Step 2: Convert to fraction form
    4.92/10.69 = 10.69/x
  3. Step 3: Cross multiply
    4.92x = 10.69 × 10.69
  4. Step 4: Simplify right side
    4.92x = 114.22
  5. Step 5: Solve for x
    x = 114.22/4.92
  6. Step 6: Final answer
    x = 23.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.