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Finding the Third Proportional to 5.70 and 11.63

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Solution

The third proportional to 5.70 and 11.63 is: 23.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.70 : 11.63 = 11.63 : x
  2. Step 2: Convert to fraction form
    5.70/11.63 = 11.63/x
  3. Step 3: Cross multiply
    5.70x = 11.63 × 11.63
  4. Step 4: Simplify right side
    5.70x = 135.21
  5. Step 5: Solve for x
    x = 135.21/5.70
  6. Step 6: Final answer
    x = 23.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.