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Finding the Third Proportional to 6,596 and 10,344

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Solution

The third proportional to 6,596 and 10,344 is: 16,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596 : 10,344 = 10,344 : x
  2. Step 2: Convert to fraction form
    6,596/10,344 = 10,344/x
  3. Step 3: Cross multiply
    6,596x = 10,344 × 10,344
  4. Step 4: Simplify right side
    6,596x = 106,998,336
  5. Step 5: Solve for x
    x = 106,998,336/6,596
  6. Step 6: Final answer
    x = 16,221.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.