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Finding the Third Proportional to 32.75 and 36.50

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Solution

The third proportional to 32.75 and 36.50 is: 40.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 36.50 = 36.50 : x
  2. Step 2: Convert to fraction form
    32.75/36.50 = 36.50/x
  3. Step 3: Cross multiply
    32.75x = 36.50 × 36.50
  4. Step 4: Simplify right side
    32.75x = 1,332.25
  5. Step 5: Solve for x
    x = 1,332.25/32.75
  6. Step 6: Final answer
    x = 40.68

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.