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Finding the Third Proportional to 30,940 and 67,928

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Solution

The third proportional to 30,940 and 67,928 is: 149,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940 : 67,928 = 67,928 : x
  2. Step 2: Convert to fraction form
    30,940/67,928 = 67,928/x
  3. Step 3: Cross multiply
    30,940x = 67,928 × 67,928
  4. Step 4: Simplify right side
    30,940x = 4,614,213,184
  5. Step 5: Solve for x
    x = 4,614,213,184/30,940
  6. Step 6: Final answer
    x = 149,134.23

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.