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Finding the Third Proportional to 36.63 and 56.94

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Solution

The third proportional to 36.63 and 56.94 is: 88.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.63 : 56.94 = 56.94 : x
  2. Step 2: Convert to fraction form
    36.63/56.94 = 56.94/x
  3. Step 3: Cross multiply
    36.63x = 56.94 × 56.94
  4. Step 4: Simplify right side
    36.63x = 3,241.88
  5. Step 5: Solve for x
    x = 3,241.88/36.63
  6. Step 6: Final answer
    x = 88.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.