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Finding the Third Proportional to 30,722 and 67,004

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Solution

The third proportional to 30,722 and 67,004 is: 146,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722 : 67,004 = 67,004 : x
  2. Step 2: Convert to fraction form
    30,722/67,004 = 67,004/x
  3. Step 3: Cross multiply
    30,722x = 67,004 × 67,004
  4. Step 4: Simplify right side
    30,722x = 4,489,536,016
  5. Step 5: Solve for x
    x = 4,489,536,016/30,722
  6. Step 6: Final answer
    x = 146,134.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.