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Finding the Third Proportional to 4.69 and 10.33

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Solution

The third proportional to 4.69 and 10.33 is: 22.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.69 : 10.33 = 10.33 : x
  2. Step 2: Convert to fraction form
    4.69/10.33 = 10.33/x
  3. Step 3: Cross multiply
    4.69x = 10.33 × 10.33
  4. Step 4: Simplify right side
    4.69x = 106.75
  5. Step 5: Solve for x
    x = 106.75/4.69
  6. Step 6: Final answer
    x = 22.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.