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Finding the Third Proportional to 12.37 and 26.67

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Solution

The third proportional to 12.37 and 26.67 is: 57.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.37 : 26.67 = 26.67 : x
  2. Step 2: Convert to fraction form
    12.37/26.67 = 26.67/x
  3. Step 3: Cross multiply
    12.37x = 26.67 × 26.67
  4. Step 4: Simplify right side
    12.37x = 711.46
  5. Step 5: Solve for x
    x = 711.46/12.37
  6. Step 6: Final answer
    x = 57.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.