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Finding the Third Proportional to 17,906.06 and 27,269.16

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Solution

The third proportional to 17,906.06 and 27,269.16 is: 41,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.06 : 27,269.16 = 27,269.16 : x
  2. Step 2: Convert to fraction form
    17,906.06/27,269.16 = 27,269.16/x
  3. Step 3: Cross multiply
    17,906.06x = 27,269.16 × 27,269.16
  4. Step 4: Simplify right side
    17,906.06x = 743,606,882.59
  5. Step 5: Solve for x
    x = 743,606,882.59/17,906.06
  6. Step 6: Final answer
    x = 41,528.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.