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Finding the Third Proportional to 36.70 and 55.05

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Solution

The third proportional to 36.70 and 55.05 is: 82.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 55.05 = 55.05 : x
  2. Step 2: Convert to fraction form
    36.70/55.05 = 55.05/x
  3. Step 3: Cross multiply
    36.70x = 55.05 × 55.05
  4. Step 4: Simplify right side
    36.70x = 3,031.02
  5. Step 5: Solve for x
    x = 3,031.02/36.70
  6. Step 6: Final answer
    x = 82.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.