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Finding the Third Proportional to 6,200 and 8,510

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Solution

The third proportional to 6,200 and 8,510 is: 11,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200 : 8,510 = 8,510 : x
  2. Step 2: Convert to fraction form
    6,200/8,510 = 8,510/x
  3. Step 3: Cross multiply
    6,200x = 8,510 × 8,510
  4. Step 4: Simplify right side
    6,200x = 72,420,100
  5. Step 5: Solve for x
    x = 72,420,100/6,200
  6. Step 6: Final answer
    x = 11,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.