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Finding the Third Proportional to 5,201.72 and 11,408.34

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Solution

The third proportional to 5,201.72 and 11,408.34 is: 25,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.72 : 11,408.34 = 11,408.34 : x
  2. Step 2: Convert to fraction form
    5,201.72/11,408.34 = 11,408.34/x
  3. Step 3: Cross multiply
    5,201.72x = 11,408.34 × 11,408.34
  4. Step 4: Simplify right side
    5,201.72x = 130,150,307.12
  5. Step 5: Solve for x
    x = 130,150,307.12/5,201.72
  6. Step 6: Final answer
    x = 25,020.64

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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.