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Finding the Third Proportional to 15,451.50 and 31,997.25

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Solution

The third proportional to 15,451.50 and 31,997.25 is: 66,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,451.50 : 31,997.25 = 31,997.25 : x
  2. Step 2: Convert to fraction form
    15,451.50/31,997.25 = 31,997.25/x
  3. Step 3: Cross multiply
    15,451.50x = 31,997.25 × 31,997.25
  4. Step 4: Simplify right side
    15,451.50x = 1,023,824,007.56
  5. Step 5: Solve for x
    x = 1,023,824,007.56/15,451.50
  6. Step 6: Final answer
    x = 66,260.49

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.