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Finding the Third Proportional to 9,745.03 and 20,822.91

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Solution

The third proportional to 9,745.03 and 20,822.91 is: 44,493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.03 : 20,822.91 = 20,822.91 : x
  2. Step 2: Convert to fraction form
    9,745.03/20,822.91 = 20,822.91/x
  3. Step 3: Cross multiply
    9,745.03x = 20,822.91 × 20,822.91
  4. Step 4: Simplify right side
    9,745.03x = 433,593,424.70
  5. Step 5: Solve for x
    x = 433,593,424.70/9,745.03
  6. Step 6: Final answer
    x = 44,493.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.