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Finding the Third Proportional to 6,729 and 14,619

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Solution

The third proportional to 6,729 and 14,619 is: 31,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729 : 14,619 = 14,619 : x
  2. Step 2: Convert to fraction form
    6,729/14,619 = 14,619/x
  3. Step 3: Cross multiply
    6,729x = 14,619 × 14,619
  4. Step 4: Simplify right side
    6,729x = 213,715,161
  5. Step 5: Solve for x
    x = 213,715,161/6,729
  6. Step 6: Final answer
    x = 31,760.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.