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Finding the Third Proportional to 17,473.22 and 27,107.16

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Solution

The third proportional to 17,473.22 and 27,107.16 is: 42,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473.22 : 27,107.16 = 27,107.16 : x
  2. Step 2: Convert to fraction form
    17,473.22/27,107.16 = 27,107.16/x
  3. Step 3: Cross multiply
    17,473.22x = 27,107.16 × 27,107.16
  4. Step 4: Simplify right side
    17,473.22x = 734,797,919.96
  5. Step 5: Solve for x
    x = 734,797,919.96/17,473.22
  6. Step 6: Final answer
    x = 42,052.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.