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Finding the Third Proportional to 6,740 and 8,596

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Solution

The third proportional to 6,740 and 8,596 is: 10,963.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740 : 8,596 = 8,596 : x
  2. Step 2: Convert to fraction form
    6,740/8,596 = 8,596/x
  3. Step 3: Cross multiply
    6,740x = 8,596 × 8,596
  4. Step 4: Simplify right side
    6,740x = 73,891,216
  5. Step 5: Solve for x
    x = 73,891,216/6,740
  6. Step 6: Final answer
    x = 10,963.09

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.