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Finding the Third Proportional to 6,174 and 7,848

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Solution

The third proportional to 6,174 and 7,848 is: 9,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 7,848 = 7,848 : x
  2. Step 2: Convert to fraction form
    6,174/7,848 = 7,848/x
  3. Step 3: Cross multiply
    6,174x = 7,848 × 7,848
  4. Step 4: Simplify right side
    6,174x = 61,591,104
  5. Step 5: Solve for x
    x = 61,591,104/6,174
  6. Step 6: Final answer
    x = 9,975.88

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.