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Finding the Third Proportional to 18,194.63 and 27,398.25

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Solution

The third proportional to 18,194.63 and 27,398.25 is: 41,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.63 : 27,398.25 = 27,398.25 : x
  2. Step 2: Convert to fraction form
    18,194.63/27,398.25 = 27,398.25/x
  3. Step 3: Cross multiply
    18,194.63x = 27,398.25 × 27,398.25
  4. Step 4: Simplify right side
    18,194.63x = 750,664,103.06
  5. Step 5: Solve for x
    x = 750,664,103.06/18,194.63
  6. Step 6: Final answer
    x = 41,257.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.