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Finding the Third Proportional to 8,183 and 13,157

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Solution

The third proportional to 8,183 and 13,157 is: 21,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183 : 13,157 = 13,157 : x
  2. Step 2: Convert to fraction form
    8,183/13,157 = 13,157/x
  3. Step 3: Cross multiply
    8,183x = 13,157 × 13,157
  4. Step 4: Simplify right side
    8,183x = 173,106,649
  5. Step 5: Solve for x
    x = 173,106,649/8,183
  6. Step 6: Final answer
    x = 21,154.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.