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Finding the Third Proportional to 10.69 and 22.31

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Solution

The third proportional to 10.69 and 22.31 is: 46.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 22.31 = 22.31 : x
  2. Step 2: Convert to fraction form
    10.69/22.31 = 22.31/x
  3. Step 3: Cross multiply
    10.69x = 22.31 × 22.31
  4. Step 4: Simplify right side
    10.69x = 497.85
  5. Step 5: Solve for x
    x = 497.85/10.69
  6. Step 6: Final answer
    x = 46.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.