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Finding the Third Proportional to 5,166 and 7,738

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Solution

The third proportional to 5,166 and 7,738 is: 11,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166 : 7,738 = 7,738 : x
  2. Step 2: Convert to fraction form
    5,166/7,738 = 7,738/x
  3. Step 3: Cross multiply
    5,166x = 7,738 × 7,738
  4. Step 4: Simplify right side
    5,166x = 59,876,644
  5. Step 5: Solve for x
    x = 59,876,644/5,166
  6. Step 6: Final answer
    x = 11,590.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.