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Finding the Third Proportional to 2,658 and 6,729

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Solution

The third proportional to 2,658 and 6,729 is: 17,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658 : 6,729 = 6,729 : x
  2. Step 2: Convert to fraction form
    2,658/6,729 = 6,729/x
  3. Step 3: Cross multiply
    2,658x = 6,729 × 6,729
  4. Step 4: Simplify right side
    2,658x = 45,279,441
  5. Step 5: Solve for x
    x = 45,279,441/2,658
  6. Step 6: Final answer
    x = 17,035.15

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.