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Finding the Third Proportional to 4,744.13 and 7,622.44

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Solution

The third proportional to 4,744.13 and 7,622.44 is: 12,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.13 : 7,622.44 = 7,622.44 : x
  2. Step 2: Convert to fraction form
    4,744.13/7,622.44 = 7,622.44/x
  3. Step 3: Cross multiply
    4,744.13x = 7,622.44 × 7,622.44
  4. Step 4: Simplify right side
    4,744.13x = 58,101,553.44
  5. Step 5: Solve for x
    x = 58,101,553.44/4,744.13
  6. Step 6: Final answer
    x = 12,247.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.