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Finding the Third Proportional to 11.59 and 24.45

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Solution

The third proportional to 11.59 and 24.45 is: 51.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.59 : 24.45 = 24.45 : x
  2. Step 2: Convert to fraction form
    11.59/24.45 = 24.45/x
  3. Step 3: Cross multiply
    11.59x = 24.45 × 24.45
  4. Step 4: Simplify right side
    11.59x = 597.78
  5. Step 5: Solve for x
    x = 597.78/11.59
  6. Step 6: Final answer
    x = 51.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.