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Finding the Third Proportional to 13,671.28 and 32,189.91

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Solution

The third proportional to 13,671.28 and 32,189.91 is: 75,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.28 : 32,189.91 = 32,189.91 : x
  2. Step 2: Convert to fraction form
    13,671.28/32,189.91 = 32,189.91/x
  3. Step 3: Cross multiply
    13,671.28x = 32,189.91 × 32,189.91
  4. Step 4: Simplify right side
    13,671.28x = 1,036,190,064.38
  5. Step 5: Solve for x
    x = 1,036,190,064.38/13,671.28
  6. Step 6: Final answer
    x = 75,793.19

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.