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Finding the Third Proportional to 8,066.25 and 17,431.03

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Solution

The third proportional to 8,066.25 and 17,431.03 is: 37,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,066.25 : 17,431.03 = 17,431.03 : x
  2. Step 2: Convert to fraction form
    8,066.25/17,431.03 = 17,431.03/x
  3. Step 3: Cross multiply
    8,066.25x = 17,431.03 × 17,431.03
  4. Step 4: Simplify right side
    8,066.25x = 303,840,850.44
  5. Step 5: Solve for x
    x = 303,840,850.44/8,066.25
  6. Step 6: Final answer
    x = 37,668.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.