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Finding the Third Proportional to 4,153.78 and 8,924.55

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Solution

The third proportional to 4,153.78 and 8,924.55 is: 19,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.78 : 8,924.55 = 8,924.55 : x
  2. Step 2: Convert to fraction form
    4,153.78/8,924.55 = 8,924.55/x
  3. Step 3: Cross multiply
    4,153.78x = 8,924.55 × 8,924.55
  4. Step 4: Simplify right side
    4,153.78x = 79,647,676.37
  5. Step 5: Solve for x
    x = 79,647,676.37/4,153.78
  6. Step 6: Final answer
    x = 19,174.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.