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Finding the Third Proportional to 4,742 and 6,123

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Solution

The third proportional to 4,742 and 6,123 is: 7,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 6,123 = 6,123 : x
  2. Step 2: Convert to fraction form
    4,742/6,123 = 6,123/x
  3. Step 3: Cross multiply
    4,742x = 6,123 × 6,123
  4. Step 4: Simplify right side
    4,742x = 37,491,129
  5. Step 5: Solve for x
    x = 37,491,129/4,742
  6. Step 6: Final answer
    x = 7,906.18

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.