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Finding the Third Proportional to 30,169.13 and 32,902.88

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Solution

The third proportional to 30,169.13 and 32,902.88 is: 35,884.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169.13 : 32,902.88 = 32,902.88 : x
  2. Step 2: Convert to fraction form
    30,169.13/32,902.88 = 32,902.88/x
  3. Step 3: Cross multiply
    30,169.13x = 32,902.88 × 32,902.88
  4. Step 4: Simplify right side
    30,169.13x = 1,082,599,183.27
  5. Step 5: Solve for x
    x = 1,082,599,183.27/30,169.13
  6. Step 6: Final answer
    x = 35,884.34

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.