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Finding the Third Proportional to 5,206 and 8,131

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Solution

The third proportional to 5,206 and 8,131 is: 12,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206 : 8,131 = 8,131 : x
  2. Step 2: Convert to fraction form
    5,206/8,131 = 8,131/x
  3. Step 3: Cross multiply
    5,206x = 8,131 × 8,131
  4. Step 4: Simplify right side
    5,206x = 66,113,161
  5. Step 5: Solve for x
    x = 66,113,161/5,206
  6. Step 6: Final answer
    x = 12,699.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.