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Finding the Third Proportional to 20,982.38 and 32,537.25

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Solution

The third proportional to 20,982.38 and 32,537.25 is: 50,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.38 : 32,537.25 = 32,537.25 : x
  2. Step 2: Convert to fraction form
    20,982.38/32,537.25 = 32,537.25/x
  3. Step 3: Cross multiply
    20,982.38x = 32,537.25 × 32,537.25
  4. Step 4: Simplify right side
    20,982.38x = 1,058,672,637.56
  5. Step 5: Solve for x
    x = 1,058,672,637.56/20,982.38
  6. Step 6: Final answer
    x = 50,455.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.