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Finding the Third Proportional to 6,170 and 8,210

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Solution

The third proportional to 6,170 and 8,210 is: 10,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170 : 8,210 = 8,210 : x
  2. Step 2: Convert to fraction form
    6,170/8,210 = 8,210/x
  3. Step 3: Cross multiply
    6,170x = 8,210 × 8,210
  4. Step 4: Simplify right side
    6,170x = 67,404,100
  5. Step 5: Solve for x
    x = 67,404,100/6,170
  6. Step 6: Final answer
    x = 10,924.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.