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Finding the Third Proportional to 5,524.45 and 8,024.70

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Solution

The third proportional to 5,524.45 and 8,024.70 is: 11,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.45 : 8,024.70 = 8,024.70 : x
  2. Step 2: Convert to fraction form
    5,524.45/8,024.70 = 8,024.70/x
  3. Step 3: Cross multiply
    5,524.45x = 8,024.70 × 8,024.70
  4. Step 4: Simplify right side
    5,524.45x = 64,395,734.86
  5. Step 5: Solve for x
    x = 64,395,734.86/5,524.45
  6. Step 6: Final answer
    x = 11,656.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.