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Finding the Third Proportional to 4,339 and 6,729

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Solution

The third proportional to 4,339 and 6,729 is: 10,435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339 : 6,729 = 6,729 : x
  2. Step 2: Convert to fraction form
    4,339/6,729 = 6,729/x
  3. Step 3: Cross multiply
    4,339x = 6,729 × 6,729
  4. Step 4: Simplify right side
    4,339x = 45,279,441
  5. Step 5: Solve for x
    x = 45,279,441/4,339
  6. Step 6: Final answer
    x = 10,435.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.