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Finding the Third Proportional to 5,193 and 5,997

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Solution

The third proportional to 5,193 and 5,997 is: 6,925.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193 : 5,997 = 5,997 : x
  2. Step 2: Convert to fraction form
    5,193/5,997 = 5,997/x
  3. Step 3: Cross multiply
    5,193x = 5,997 × 5,997
  4. Step 4: Simplify right side
    5,193x = 35,964,009
  5. Step 5: Solve for x
    x = 35,964,009/5,193
  6. Step 6: Final answer
    x = 6,925.48

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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.