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Finding the Third Proportional to 5,637 and 13,593

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Solution

The third proportional to 5,637 and 13,593 is: 32,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637 : 13,593 = 13,593 : x
  2. Step 2: Convert to fraction form
    5,637/13,593 = 13,593/x
  3. Step 3: Cross multiply
    5,637x = 13,593 × 13,593
  4. Step 4: Simplify right side
    5,637x = 184,769,649
  5. Step 5: Solve for x
    x = 184,769,649/5,637
  6. Step 6: Final answer
    x = 32,778.01

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.