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Finding the Third Proportional to 10.69 and 15.47

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Solution

The third proportional to 10.69 and 15.47 is: 22.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 15.47 = 15.47 : x
  2. Step 2: Convert to fraction form
    10.69/15.47 = 15.47/x
  3. Step 3: Cross multiply
    10.69x = 15.47 × 15.47
  4. Step 4: Simplify right side
    10.69x = 239.28
  5. Step 5: Solve for x
    x = 239.28/10.69
  6. Step 6: Final answer
    x = 22.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.