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Finding the Third Proportional to 10.69 and 24.19

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Solution

The third proportional to 10.69 and 24.19 is: 54.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 24.19 = 24.19 : x
  2. Step 2: Convert to fraction form
    10.69/24.19 = 24.19/x
  3. Step 3: Cross multiply
    10.69x = 24.19 × 24.19
  4. Step 4: Simplify right side
    10.69x = 585.04
  5. Step 5: Solve for x
    x = 585.04/10.69
  6. Step 6: Final answer
    x = 54.74

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.