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Finding the Third Proportional to 33.64 and 52.06

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Solution

The third proportional to 33.64 and 52.06 is: 80.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.64 : 52.06 = 52.06 : x
  2. Step 2: Convert to fraction form
    33.64/52.06 = 52.06/x
  3. Step 3: Cross multiply
    33.64x = 52.06 × 52.06
  4. Step 4: Simplify right side
    33.64x = 2,710.11
  5. Step 5: Solve for x
    x = 2,710.11/33.64
  6. Step 6: Final answer
    x = 80.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.