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Finding the Third Proportional to 37.64 and 47.86

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Solution

The third proportional to 37.64 and 47.86 is: 60.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.64 : 47.86 = 47.86 : x
  2. Step 2: Convert to fraction form
    37.64/47.86 = 47.86/x
  3. Step 3: Cross multiply
    37.64x = 47.86 × 47.86
  4. Step 4: Simplify right side
    37.64x = 2,290.52
  5. Step 5: Solve for x
    x = 2,290.52/37.64
  6. Step 6: Final answer
    x = 60.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.