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Finding the Third Proportional to 13.50 and 32

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Solution

The third proportional to 13.50 and 32 is: 75.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.50 : 32 = 32 : x
  2. Step 2: Convert to fraction form
    13.50/32 = 32/x
  3. Step 3: Cross multiply
    13.50x = 32 × 32
  4. Step 4: Simplify right side
    13.50x = 1,024
  5. Step 5: Solve for x
    x = 1,024/13.50
  6. Step 6: Final answer
    x = 75.85

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.