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Finding the Third Proportional to 20,236.88 and 31,415.06

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Solution

The third proportional to 20,236.88 and 31,415.06 is: 48,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,236.88 : 31,415.06 = 31,415.06 : x
  2. Step 2: Convert to fraction form
    20,236.88/31,415.06 = 31,415.06/x
  3. Step 3: Cross multiply
    20,236.88x = 31,415.06 × 31,415.06
  4. Step 4: Simplify right side
    20,236.88x = 986,906,151.88
  5. Step 5: Solve for x
    x = 986,906,151.88/20,236.88
  6. Step 6: Final answer
    x = 48,767.71

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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.