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Finding the Third Proportional to 36.15 and 52.95

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Solution

The third proportional to 36.15 and 52.95 is: 77.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.15 : 52.95 = 52.95 : x
  2. Step 2: Convert to fraction form
    36.15/52.95 = 52.95/x
  3. Step 3: Cross multiply
    36.15x = 52.95 × 52.95
  4. Step 4: Simplify right side
    36.15x = 2,803.73
  5. Step 5: Solve for x
    x = 2,803.73/36.15
  6. Step 6: Final answer
    x = 77.57

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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.