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Finding the Third Proportional to 13.29 and 32.27

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Solution

The third proportional to 13.29 and 32.27 is: 78.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.29 : 32.27 = 32.27 : x
  2. Step 2: Convert to fraction form
    13.29/32.27 = 32.27/x
  3. Step 3: Cross multiply
    13.29x = 32.27 × 32.27
  4. Step 4: Simplify right side
    13.29x = 1,041.57
  5. Step 5: Solve for x
    x = 1,041.57/13.29
  6. Step 6: Final answer
    x = 78.38

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.