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Finding the Third Proportional to 6,662 and 10,361

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Solution

The third proportional to 6,662 and 10,361 is: 16,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662 : 10,361 = 10,361 : x
  2. Step 2: Convert to fraction form
    6,662/10,361 = 10,361/x
  3. Step 3: Cross multiply
    6,662x = 10,361 × 10,361
  4. Step 4: Simplify right side
    6,662x = 107,350,321
  5. Step 5: Solve for x
    x = 107,350,321/6,662
  6. Step 6: Final answer
    x = 16,113.83

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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.