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Finding the Third Proportional to 10.69 and 23.06

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Solution

The third proportional to 10.69 and 23.06 is: 49.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 23.06 = 23.06 : x
  2. Step 2: Convert to fraction form
    10.69/23.06 = 23.06/x
  3. Step 3: Cross multiply
    10.69x = 23.06 × 23.06
  4. Step 4: Simplify right side
    10.69x = 531.88
  5. Step 5: Solve for x
    x = 531.88/10.69
  6. Step 6: Final answer
    x = 49.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.