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Finding the Third Proportional to 3,102 and 5,817

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Solution

The third proportional to 3,102 and 5,817 is: 10,908.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102 : 5,817 = 5,817 : x
  2. Step 2: Convert to fraction form
    3,102/5,817 = 5,817/x
  3. Step 3: Cross multiply
    3,102x = 5,817 × 5,817
  4. Step 4: Simplify right side
    3,102x = 33,837,489
  5. Step 5: Solve for x
    x = 33,837,489/3,102
  6. Step 6: Final answer
    x = 10,908.28

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.