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Finding the Third Proportional to 17,996 and 37,948

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Solution

The third proportional to 17,996 and 37,948 is: 80,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,996 : 37,948 = 37,948 : x
  2. Step 2: Convert to fraction form
    17,996/37,948 = 37,948/x
  3. Step 3: Cross multiply
    17,996x = 37,948 × 37,948
  4. Step 4: Simplify right side
    17,996x = 1,440,050,704
  5. Step 5: Solve for x
    x = 1,440,050,704/17,996
  6. Step 6: Final answer
    x = 80,020.60

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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.