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Finding the Third Proportional to 10.99 and 24.17

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Solution

The third proportional to 10.99 and 24.17 is: 53.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.99 : 24.17 = 24.17 : x
  2. Step 2: Convert to fraction form
    10.99/24.17 = 24.17/x
  3. Step 3: Cross multiply
    10.99x = 24.17 × 24.17
  4. Step 4: Simplify right side
    10.99x = 584.19
  5. Step 5: Solve for x
    x = 584.19/10.99
  6. Step 6: Final answer
    x = 53.17

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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.