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Finding the Third Proportional to 6,866 and 10,329

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Solution

The third proportional to 6,866 and 10,329 is: 15,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866 : 10,329 = 10,329 : x
  2. Step 2: Convert to fraction form
    6,866/10,329 = 10,329/x
  3. Step 3: Cross multiply
    6,866x = 10,329 × 10,329
  4. Step 4: Simplify right side
    6,866x = 106,688,241
  5. Step 5: Solve for x
    x = 106,688,241/6,866
  6. Step 6: Final answer
    x = 15,538.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.