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Finding the Third Proportional to 4,742 and 5,174

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Solution

The third proportional to 4,742 and 5,174 is: 5,645.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 5,174 = 5,174 : x
  2. Step 2: Convert to fraction form
    4,742/5,174 = 5,174/x
  3. Step 3: Cross multiply
    4,742x = 5,174 × 5,174
  4. Step 4: Simplify right side
    4,742x = 26,770,276
  5. Step 5: Solve for x
    x = 26,770,276/4,742
  6. Step 6: Final answer
    x = 5,645.36

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.