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Finding the Third Proportional to 21,001 and 32,494

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Solution

The third proportional to 21,001 and 32,494 is: 50,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001 : 32,494 = 32,494 : x
  2. Step 2: Convert to fraction form
    21,001/32,494 = 32,494/x
  3. Step 3: Cross multiply
    21,001x = 32,494 × 32,494
  4. Step 4: Simplify right side
    21,001x = 1,055,860,036
  5. Step 5: Solve for x
    x = 1,055,860,036/21,001
  6. Step 6: Final answer
    x = 50,276.66

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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.