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Finding the Third Proportional to 33.64 and 45.65

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Solution

The third proportional to 33.64 and 45.65 is: 61.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 45.65 = 45.65 : x
  2. Step 2: Convert to fraction form
    33.64/45.65 = 45.65/x
  3. Step 3: Cross multiply
    33.64x = 45.65 × 45.65
  4. Step 4: Simplify right side
    33.64x = 2,084.06
  5. Step 5: Solve for x
    x = 2,084.06/33.64
  6. Step 6: Final answer
    x = 61.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.