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Finding the Third Proportional to 30,720 and 67,992

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Solution

The third proportional to 30,720 and 67,992 is: 150,485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720 : 67,992 = 67,992 : x
  2. Step 2: Convert to fraction form
    30,720/67,992 = 67,992/x
  3. Step 3: Cross multiply
    30,720x = 67,992 × 67,992
  4. Step 4: Simplify right side
    30,720x = 4,622,912,064
  5. Step 5: Solve for x
    x = 4,622,912,064/30,720
  6. Step 6: Final answer
    x = 150,485.42

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Why These Related Problems?

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