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Finding the Third Proportional to 2,102 and 3,092

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Solution

The third proportional to 2,102 and 3,092 is: 4,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 3,092 = 3,092 : x
  2. Step 2: Convert to fraction form
    2,102/3,092 = 3,092/x
  3. Step 3: Cross multiply
    2,102x = 3,092 × 3,092
  4. Step 4: Simplify right side
    2,102x = 9,560,464
  5. Step 5: Solve for x
    x = 9,560,464/2,102
  6. Step 6: Final answer
    x = 4,548.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.