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Finding the Third Proportional to 5,149 and 7,723

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Solution

The third proportional to 5,149 and 7,723 is: 11,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149 : 7,723 = 7,723 : x
  2. Step 2: Convert to fraction form
    5,149/7,723 = 7,723/x
  3. Step 3: Cross multiply
    5,149x = 7,723 × 7,723
  4. Step 4: Simplify right side
    5,149x = 59,644,729
  5. Step 5: Solve for x
    x = 59,644,729/5,149
  6. Step 6: Final answer
    x = 11,583.75

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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.