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Finding the Third Proportional to 13,091 and 19,593

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Solution

The third proportional to 13,091 and 19,593 is: 29,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091 : 19,593 = 19,593 : x
  2. Step 2: Convert to fraction form
    13,091/19,593 = 19,593/x
  3. Step 3: Cross multiply
    13,091x = 19,593 × 19,593
  4. Step 4: Simplify right side
    13,091x = 383,885,649
  5. Step 5: Solve for x
    x = 383,885,649/13,091
  6. Step 6: Final answer
    x = 29,324.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.