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Finding the Third Proportional to 8,110.13 and 17,906.06

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Solution

The third proportional to 8,110.13 and 17,906.06 is: 39,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.13 : 17,906.06 = 17,906.06 : x
  2. Step 2: Convert to fraction form
    8,110.13/17,906.06 = 17,906.06/x
  3. Step 3: Cross multiply
    8,110.13x = 17,906.06 × 17,906.06
  4. Step 4: Simplify right side
    8,110.13x = 320,627,074.25
  5. Step 5: Solve for x
    x = 320,627,074.25/8,110.13
  6. Step 6: Final answer
    x = 39,534.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.