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Finding the Third Proportional to 45.46 and 47.49

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Solution

The third proportional to 45.46 and 47.49 is: 49.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.46 : 47.49 = 47.49 : x
  2. Step 2: Convert to fraction form
    45.46/47.49 = 47.49/x
  3. Step 3: Cross multiply
    45.46x = 47.49 × 47.49
  4. Step 4: Simplify right side
    45.46x = 2,255.50
  5. Step 5: Solve for x
    x = 2,255.50/45.46
  6. Step 6: Final answer
    x = 49.61

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.