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Finding the Third Proportional to 20,631.38 and 31,890.38

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Solution

The third proportional to 20,631.38 and 31,890.38 is: 49,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,631.38 : 31,890.38 = 31,890.38 : x
  2. Step 2: Convert to fraction form
    20,631.38/31,890.38 = 31,890.38/x
  3. Step 3: Cross multiply
    20,631.38x = 31,890.38 × 31,890.38
  4. Step 4: Simplify right side
    20,631.38x = 1,016,996,017.64
  5. Step 5: Solve for x
    x = 1,016,996,017.64/20,631.38
  6. Step 6: Final answer
    x = 49,293.66

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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.