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Finding the Third Proportional to 32.13 and 57.09

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Solution

The third proportional to 32.13 and 57.09 is: 101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.13 : 57.09 = 57.09 : x
  2. Step 2: Convert to fraction form
    32.13/57.09 = 57.09/x
  3. Step 3: Cross multiply
    32.13x = 57.09 × 57.09
  4. Step 4: Simplify right side
    32.13x = 3,259.70
  5. Step 5: Solve for x
    x = 3,259.70/32.13
  6. Step 6: Final answer
    x = 101.44

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.