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Finding the Third Proportional to 36.75 and 64.50

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Solution

The third proportional to 36.75 and 64.50 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.75 : 64.50 = 64.50 : x
  2. Step 2: Convert to fraction form
    36.75/64.50 = 64.50/x
  3. Step 3: Cross multiply
    36.75x = 64.50 × 64.50
  4. Step 4: Simplify right side
    36.75x = 4,160.25
  5. Step 5: Solve for x
    x = 4,160.25/36.75
  6. Step 6: Final answer
    x = 113.20

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.