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Finding the Third Proportional to 7,881 and 16,997

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Solution

The third proportional to 7,881 and 16,997 is: 36,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881 : 16,997 = 16,997 : x
  2. Step 2: Convert to fraction form
    7,881/16,997 = 16,997/x
  3. Step 3: Cross multiply
    7,881x = 16,997 × 16,997
  4. Step 4: Simplify right side
    7,881x = 288,898,009
  5. Step 5: Solve for x
    x = 288,898,009/7,881
  6. Step 6: Final answer
    x = 36,657.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.