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Finding the Third Proportional to 8,383.25 and 17,455.13

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Solution

The third proportional to 8,383.25 and 17,455.13 is: 36,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.25 : 17,455.13 = 17,455.13 : x
  2. Step 2: Convert to fraction form
    8,383.25/17,455.13 = 17,455.13/x
  3. Step 3: Cross multiply
    8,383.25x = 17,455.13 × 17,455.13
  4. Step 4: Simplify right side
    8,383.25x = 304,681,388.77
  5. Step 5: Solve for x
    x = 304,681,388.77/8,383.25
  6. Step 6: Final answer
    x = 36,344.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.