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Finding the Third Proportional to 5,193 and 5,961

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Solution

The third proportional to 5,193 and 5,961 is: 6,842.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193 : 5,961 = 5,961 : x
  2. Step 2: Convert to fraction form
    5,193/5,961 = 5,961/x
  3. Step 3: Cross multiply
    5,193x = 5,961 × 5,961
  4. Step 4: Simplify right side
    5,193x = 35,533,521
  5. Step 5: Solve for x
    x = 35,533,521/5,193
  6. Step 6: Final answer
    x = 6,842.58

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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.