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Finding the Third Proportional to 6,706 and 8,520

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Solution

The third proportional to 6,706 and 8,520 is: 10,824.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706 : 8,520 = 8,520 : x
  2. Step 2: Convert to fraction form
    6,706/8,520 = 8,520/x
  3. Step 3: Cross multiply
    6,706x = 8,520 × 8,520
  4. Step 4: Simplify right side
    6,706x = 72,590,400
  5. Step 5: Solve for x
    x = 72,590,400/6,706
  6. Step 6: Final answer
    x = 10,824.69

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.