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Finding the Third Proportional to 30,712 and 67,976

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Solution

The third proportional to 30,712 and 67,976 is: 150,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,712 : 67,976 = 67,976 : x
  2. Step 2: Convert to fraction form
    30,712/67,976 = 67,976/x
  3. Step 3: Cross multiply
    30,712x = 67,976 × 67,976
  4. Step 4: Simplify right side
    30,712x = 4,620,736,576
  5. Step 5: Solve for x
    x = 4,620,736,576/30,712
  6. Step 6: Final answer
    x = 150,453.78

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.