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Finding the Third Proportional to 33.64 and 49.21

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Solution

The third proportional to 33.64 and 49.21 is: 71.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 49.21 = 49.21 : x
  2. Step 2: Convert to fraction form
    33.64/49.21 = 49.21/x
  3. Step 3: Cross multiply
    33.64x = 49.21 × 49.21
  4. Step 4: Simplify right side
    33.64x = 2,422.01
  5. Step 5: Solve for x
    x = 2,422.01/33.64
  6. Step 6: Final answer
    x = 71.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.