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Finding the Third Proportional to 33.47 and 49.64

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Solution

The third proportional to 33.47 and 49.64 is: 73.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.47 : 49.64 = 49.64 : x
  2. Step 2: Convert to fraction form
    33.47/49.64 = 49.64/x
  3. Step 3: Cross multiply
    33.47x = 49.64 × 49.64
  4. Step 4: Simplify right side
    33.47x = 2,464.19
  5. Step 5: Solve for x
    x = 2,464.19/33.47
  6. Step 6: Final answer
    x = 73.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.