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Finding the Third Proportional to 32,950 and 51,001

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Solution

The third proportional to 32,950 and 51,001 is: 78,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950 : 51,001 = 51,001 : x
  2. Step 2: Convert to fraction form
    32,950/51,001 = 51,001/x
  3. Step 3: Cross multiply
    32,950x = 51,001 × 51,001
  4. Step 4: Simplify right side
    32,950x = 2,601,102,001
  5. Step 5: Solve for x
    x = 2,601,102,001/32,950
  6. Step 6: Final answer
    x = 78,940.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.