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Finding the Third Proportional to 15,997.50 and 31,998.38

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Solution

The third proportional to 15,997.50 and 31,998.38 is: 64,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,997.50 : 31,998.38 = 31,998.38 : x
  2. Step 2: Convert to fraction form
    15,997.50/31,998.38 = 31,998.38/x
  3. Step 3: Cross multiply
    15,997.50x = 31,998.38 × 31,998.38
  4. Step 4: Simplify right side
    15,997.50x = 1,023,896,002.64
  5. Step 5: Solve for x
    x = 1,023,896,002.64/15,997.50
  6. Step 6: Final answer
    x = 64,003.50

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.