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Finding the Third Proportional to 2,102 and 3,661

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Solution

The third proportional to 2,102 and 3,661 is: 6,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 3,661 = 3,661 : x
  2. Step 2: Convert to fraction form
    2,102/3,661 = 3,661/x
  3. Step 3: Cross multiply
    2,102x = 3,661 × 3,661
  4. Step 4: Simplify right side
    2,102x = 13,402,921
  5. Step 5: Solve for x
    x = 13,402,921/2,102
  6. Step 6: Final answer
    x = 6,376.27

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.