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Finding the Third Proportional to 10.97 and 16.62

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Solution

The third proportional to 10.97 and 16.62 is: 25.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 16.62 = 16.62 : x
  2. Step 2: Convert to fraction form
    10.97/16.62 = 16.62/x
  3. Step 3: Cross multiply
    10.97x = 16.62 × 16.62
  4. Step 4: Simplify right side
    10.97x = 276.13
  5. Step 5: Solve for x
    x = 276.13/10.97
  6. Step 6: Final answer
    x = 25.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.