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Finding the Third Proportional to 11.50 and 21.31

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Solution

The third proportional to 11.50 and 21.31 is: 39.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.50 : 21.31 = 21.31 : x
  2. Step 2: Convert to fraction form
    11.50/21.31 = 21.31/x
  3. Step 3: Cross multiply
    11.50x = 21.31 × 21.31
  4. Step 4: Simplify right side
    11.50x = 454.22
  5. Step 5: Solve for x
    x = 454.22/11.50
  6. Step 6: Final answer
    x = 39.50

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.