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Finding the Third Proportional to 2,524.92 and 5,393.46

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Solution

The third proportional to 2,524.92 and 5,393.46 is: 11,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.92 : 5,393.46 = 5,393.46 : x
  2. Step 2: Convert to fraction form
    2,524.92/5,393.46 = 5,393.46/x
  3. Step 3: Cross multiply
    2,524.92x = 5,393.46 × 5,393.46
  4. Step 4: Simplify right side
    2,524.92x = 29,089,420.88
  5. Step 5: Solve for x
    x = 29,089,420.88/2,524.92
  6. Step 6: Final answer
    x = 11,520.92

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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.