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Finding the Third Proportional to 31.85 and 47.67

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Solution

The third proportional to 31.85 and 47.67 is: 71.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.85 : 47.67 = 47.67 : x
  2. Step 2: Convert to fraction form
    31.85/47.67 = 47.67/x
  3. Step 3: Cross multiply
    31.85x = 47.67 × 47.67
  4. Step 4: Simplify right side
    31.85x = 2,272.61
  5. Step 5: Solve for x
    x = 2,272.61/31.85
  6. Step 6: Final answer
    x = 71.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.