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Finding the Third Proportional to 20,387 and 42,948

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Solution

The third proportional to 20,387 and 42,948 is: 90,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,387 : 42,948 = 42,948 : x
  2. Step 2: Convert to fraction form
    20,387/42,948 = 42,948/x
  3. Step 3: Cross multiply
    20,387x = 42,948 × 42,948
  4. Step 4: Simplify right side
    20,387x = 1,844,530,704
  5. Step 5: Solve for x
    x = 1,844,530,704/20,387
  6. Step 6: Final answer
    x = 90,475.83

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.