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Finding the Third Proportional to 8,380.13 and 17,335.69

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Solution

The third proportional to 8,380.13 and 17,335.69 is: 35,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.13 : 17,335.69 = 17,335.69 : x
  2. Step 2: Convert to fraction form
    8,380.13/17,335.69 = 17,335.69/x
  3. Step 3: Cross multiply
    8,380.13x = 17,335.69 × 17,335.69
  4. Step 4: Simplify right side
    8,380.13x = 300,526,061.10
  5. Step 5: Solve for x
    x = 300,526,061.10/8,380.13
  6. Step 6: Final answer
    x = 35,861.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.