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Finding the Third Proportional to 36.02 and 53.74

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Solution

The third proportional to 36.02 and 53.74 is: 80.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.02 : 53.74 = 53.74 : x
  2. Step 2: Convert to fraction form
    36.02/53.74 = 53.74/x
  3. Step 3: Cross multiply
    36.02x = 53.74 × 53.74
  4. Step 4: Simplify right side
    36.02x = 2,887.59
  5. Step 5: Solve for x
    x = 2,887.59/36.02
  6. Step 6: Final answer
    x = 80.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.