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Finding the Third Proportional to 32,001 and 68,922

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Solution

The third proportional to 32,001 and 68,922 is: 148,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,001 : 68,922 = 68,922 : x
  2. Step 2: Convert to fraction form
    32,001/68,922 = 68,922/x
  3. Step 3: Cross multiply
    32,001x = 68,922 × 68,922
  4. Step 4: Simplify right side
    32,001x = 4,750,242,084
  5. Step 5: Solve for x
    x = 4,750,242,084/32,001
  6. Step 6: Final answer
    x = 148,440.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.