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Finding the Third Proportional to 17,952.75 and 27,415.13

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Solution

The third proportional to 17,952.75 and 27,415.13 is: 41,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952.75 : 27,415.13 = 27,415.13 : x
  2. Step 2: Convert to fraction form
    17,952.75/27,415.13 = 27,415.13/x
  3. Step 3: Cross multiply
    17,952.75x = 27,415.13 × 27,415.13
  4. Step 4: Simplify right side
    17,952.75x = 751,589,078.77
  5. Step 5: Solve for x
    x = 751,589,078.77/17,952.75
  6. Step 6: Final answer
    x = 41,864.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.