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Finding the Third Proportional to 20,162.25 and 31,347.38

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Solution

The third proportional to 20,162.25 and 31,347.38 is: 48,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.25 : 31,347.38 = 31,347.38 : x
  2. Step 2: Convert to fraction form
    20,162.25/31,347.38 = 31,347.38/x
  3. Step 3: Cross multiply
    20,162.25x = 31,347.38 × 31,347.38
  4. Step 4: Simplify right side
    20,162.25x = 982,657,919.39
  5. Step 5: Solve for x
    x = 982,657,919.39/20,162.25
  6. Step 6: Final answer
    x = 48,737.51

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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.