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Finding the Third Proportional to 4,743 and 11,220.75

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Solution

The third proportional to 4,743 and 11,220.75 is: 26,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743 : 11,220.75 = 11,220.75 : x
  2. Step 2: Convert to fraction form
    4,743/11,220.75 = 11,220.75/x
  3. Step 3: Cross multiply
    4,743x = 11,220.75 × 11,220.75
  4. Step 4: Simplify right side
    4,743x = 125,905,230.56
  5. Step 5: Solve for x
    x = 125,905,230.56/4,743
  6. Step 6: Final answer
    x = 26,545.48

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.