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Finding the Third Proportional to 18,434.25 and 27,669.75

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Solution

The third proportional to 18,434.25 and 27,669.75 is: 41,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,434.25 : 27,669.75 = 27,669.75 : x
  2. Step 2: Convert to fraction form
    18,434.25/27,669.75 = 27,669.75/x
  3. Step 3: Cross multiply
    18,434.25x = 27,669.75 × 27,669.75
  4. Step 4: Simplify right side
    18,434.25x = 765,615,065.06
  5. Step 5: Solve for x
    x = 765,615,065.06/18,434.25
  6. Step 6: Final answer
    x = 41,532.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.