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Finding the Third Proportional to 18,023.25 and 38,537.25

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Solution

The third proportional to 18,023.25 and 38,537.25 is: 82,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,023.25 : 38,537.25 = 38,537.25 : x
  2. Step 2: Convert to fraction form
    18,023.25/38,537.25 = 38,537.25/x
  3. Step 3: Cross multiply
    18,023.25x = 38,537.25 × 38,537.25
  4. Step 4: Simplify right side
    18,023.25x = 1,485,119,637.56
  5. Step 5: Solve for x
    x = 1,485,119,637.56/18,023.25
  6. Step 6: Final answer
    x = 82,400.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.