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Finding the Third Proportional to 5,174 and 5,930

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Solution

The third proportional to 5,174 and 5,930 is: 6,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174 : 5,930 = 5,930 : x
  2. Step 2: Convert to fraction form
    5,174/5,930 = 5,930/x
  3. Step 3: Cross multiply
    5,174x = 5,930 × 5,930
  4. Step 4: Simplify right side
    5,174x = 35,164,900
  5. Step 5: Solve for x
    x = 35,164,900/5,174
  6. Step 6: Final answer
    x = 6,796.46

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.