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Finding the Third Proportional to 11.70 and 24.06

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Solution

The third proportional to 11.70 and 24.06 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.70 : 24.06 = 24.06 : x
  2. Step 2: Convert to fraction form
    11.70/24.06 = 24.06/x
  3. Step 3: Cross multiply
    11.70x = 24.06 × 24.06
  4. Step 4: Simplify right side
    11.70x = 578.75
  5. Step 5: Solve for x
    x = 578.75/11.70
  6. Step 6: Final answer
    x = 49.45

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.