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Finding the Third Proportional to 17,529.19 and 27,194.25

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Solution

The third proportional to 17,529.19 and 27,194.25 is: 42,188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,529.19 : 27,194.25 = 27,194.25 : x
  2. Step 2: Convert to fraction form
    17,529.19/27,194.25 = 27,194.25/x
  3. Step 3: Cross multiply
    17,529.19x = 27,194.25 × 27,194.25
  4. Step 4: Simplify right side
    17,529.19x = 739,527,233.06
  5. Step 5: Solve for x
    x = 739,527,233.06/17,529.19
  6. Step 6: Final answer
    x = 42,188.33

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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.