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Finding the Third Proportional to 17,632.69 and 27,231.19

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Solution

The third proportional to 17,632.69 and 27,231.19 is: 42,054.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,632.69 : 27,231.19 = 27,231.19 : x
  2. Step 2: Convert to fraction form
    17,632.69/27,231.19 = 27,231.19/x
  3. Step 3: Cross multiply
    17,632.69x = 27,231.19 × 27,231.19
  4. Step 4: Simplify right side
    17,632.69x = 741,537,572.66
  5. Step 5: Solve for x
    x = 741,537,572.66/17,632.69
  6. Step 6: Final answer
    x = 42,054.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.