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Finding the Third Proportional to 2,102 and 3,772

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Solution

The third proportional to 2,102 and 3,772 is: 6,768.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102 : 3,772 = 3,772 : x
  2. Step 2: Convert to fraction form
    2,102/3,772 = 3,772/x
  3. Step 3: Cross multiply
    2,102x = 3,772 × 3,772
  4. Step 4: Simplify right side
    2,102x = 14,227,984
  5. Step 5: Solve for x
    x = 14,227,984/2,102
  6. Step 6: Final answer
    x = 6,768.78

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.