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Finding the Third Proportional to 5,193 and 6,978

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Solution

The third proportional to 5,193 and 6,978 is: 9,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193 : 6,978 = 6,978 : x
  2. Step 2: Convert to fraction form
    5,193/6,978 = 6,978/x
  3. Step 3: Cross multiply
    5,193x = 6,978 × 6,978
  4. Step 4: Simplify right side
    5,193x = 48,692,484
  5. Step 5: Solve for x
    x = 48,692,484/5,193
  6. Step 6: Final answer
    x = 9,376.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.