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Finding the Third Proportional to 3,842 and 5,123

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Solution

The third proportional to 3,842 and 5,123 is: 6,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842 : 5,123 = 5,123 : x
  2. Step 2: Convert to fraction form
    3,842/5,123 = 5,123/x
  3. Step 3: Cross multiply
    3,842x = 5,123 × 5,123
  4. Step 4: Simplify right side
    3,842x = 26,245,129
  5. Step 5: Solve for x
    x = 26,245,129/3,842
  6. Step 6: Final answer
    x = 6,831.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.