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Finding the Third Proportional to 20.75 and 32.13

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Solution

The third proportional to 20.75 and 32.13 is: 49.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.75 : 32.13 = 32.13 : x
  2. Step 2: Convert to fraction form
    20.75/32.13 = 32.13/x
  3. Step 3: Cross multiply
    20.75x = 32.13 × 32.13
  4. Step 4: Simplify right side
    20.75x = 1,032.02
  5. Step 5: Solve for x
    x = 1,032.02/20.75
  6. Step 6: Final answer
    x = 49.74

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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.