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Finding the Third Proportional to 36.59 and 57.11

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Solution

The third proportional to 36.59 and 57.11 is: 89.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.59 : 57.11 = 57.11 : x
  2. Step 2: Convert to fraction form
    36.59/57.11 = 57.11/x
  3. Step 3: Cross multiply
    36.59x = 57.11 × 57.11
  4. Step 4: Simplify right side
    36.59x = 3,261.48
  5. Step 5: Solve for x
    x = 3,261.48/36.59
  6. Step 6: Final answer
    x = 89.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.