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Finding the Third Proportional to 5,213.11 and 7,825.36

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Solution

The third proportional to 5,213.11 and 7,825.36 is: 11,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.11 : 7,825.36 = 7,825.36 : x
  2. Step 2: Convert to fraction form
    5,213.11/7,825.36 = 7,825.36/x
  3. Step 3: Cross multiply
    5,213.11x = 7,825.36 × 7,825.36
  4. Step 4: Simplify right side
    5,213.11x = 61,236,249.35
  5. Step 5: Solve for x
    x = 61,236,249.35/5,213.11
  6. Step 6: Final answer
    x = 11,746.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.