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Finding the Third Proportional to 32,004 and 68,375

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Solution

The third proportional to 32,004 and 68,375 is: 146,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004 : 68,375 = 68,375 : x
  2. Step 2: Convert to fraction form
    32,004/68,375 = 68,375/x
  3. Step 3: Cross multiply
    32,004x = 68,375 × 68,375
  4. Step 4: Simplify right side
    32,004x = 4,675,140,625
  5. Step 5: Solve for x
    x = 4,675,140,625/32,004
  6. Step 6: Final answer
    x = 146,079.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.