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Finding the Third Proportional to 11.50 and 24.69

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Solution

The third proportional to 11.50 and 24.69 is: 53.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 24.69 = 24.69 : x
  2. Step 2: Convert to fraction form
    11.50/24.69 = 24.69/x
  3. Step 3: Cross multiply
    11.50x = 24.69 × 24.69
  4. Step 4: Simplify right side
    11.50x = 609.47
  5. Step 5: Solve for x
    x = 609.47/11.50
  6. Step 6: Final answer
    x = 53.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.