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Finding the Third Proportional to 8,380.13 and 17,177.06

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Solution

The third proportional to 8,380.13 and 17,177.06 is: 35,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.13 : 17,177.06 = 17,177.06 : x
  2. Step 2: Convert to fraction form
    8,380.13/17,177.06 = 17,177.06/x
  3. Step 3: Cross multiply
    8,380.13x = 17,177.06 × 17,177.06
  4. Step 4: Simplify right side
    8,380.13x = 295,051,476.13
  5. Step 5: Solve for x
    x = 295,051,476.13/8,380.13
  6. Step 6: Final answer
    x = 35,208.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.