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Finding the Third Proportional to 5.23 and 12.37

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Solution

The third proportional to 5.23 and 12.37 is: 29.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.23 : 12.37 = 12.37 : x
  2. Step 2: Convert to fraction form
    5.23/12.37 = 12.37/x
  3. Step 3: Cross multiply
    5.23x = 12.37 × 12.37
  4. Step 4: Simplify right side
    5.23x = 152.91
  5. Step 5: Solve for x
    x = 152.91/5.23
  6. Step 6: Final answer
    x = 29.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.