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Finding the Third Proportional to 36.78 and 57.28

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Solution

The third proportional to 36.78 and 57.28 is: 89.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.78 : 57.28 = 57.28 : x
  2. Step 2: Convert to fraction form
    36.78/57.28 = 57.28/x
  3. Step 3: Cross multiply
    36.78x = 57.28 × 57.28
  4. Step 4: Simplify right side
    36.78x = 3,281.14
  5. Step 5: Solve for x
    x = 3,281.14/36.78
  6. Step 6: Final answer
    x = 89.21

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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.