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Finding the Third Proportional to 16,221 and 35,637

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Solution

The third proportional to 16,221 and 35,637 is: 78,293.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221 : 35,637 = 35,637 : x
  2. Step 2: Convert to fraction form
    16,221/35,637 = 35,637/x
  3. Step 3: Cross multiply
    16,221x = 35,637 × 35,637
  4. Step 4: Simplify right side
    16,221x = 1,269,995,769
  5. Step 5: Solve for x
    x = 1,269,995,769/16,221
  6. Step 6: Final answer
    x = 78,293.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.