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Finding the Third Proportional to 4,745.01 and 10,383.81

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Solution

The third proportional to 4,745.01 and 10,383.81 is: 22,723.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.01 : 10,383.81 = 10,383.81 : x
  2. Step 2: Convert to fraction form
    4,745.01/10,383.81 = 10,383.81/x
  3. Step 3: Cross multiply
    4,745.01x = 10,383.81 × 10,383.81
  4. Step 4: Simplify right side
    4,745.01x = 107,823,518.94
  5. Step 5: Solve for x
    x = 107,823,518.94/4,745.01
  6. Step 6: Final answer
    x = 22,723.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.