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Finding the Third Proportional to 8,829 and 13,193

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Solution

The third proportional to 8,829 and 13,193 is: 19,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829 : 13,193 = 13,193 : x
  2. Step 2: Convert to fraction form
    8,829/13,193 = 13,193/x
  3. Step 3: Cross multiply
    8,829x = 13,193 × 13,193
  4. Step 4: Simplify right side
    8,829x = 174,055,249
  5. Step 5: Solve for x
    x = 174,055,249/8,829
  6. Step 6: Final answer
    x = 19,714.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.