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Finding the Third Proportional to 4,639.78 and 8,197.03

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Solution

The third proportional to 4,639.78 and 8,197.03 is: 14,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,639.78 : 8,197.03 = 8,197.03 : x
  2. Step 2: Convert to fraction form
    4,639.78/8,197.03 = 8,197.03/x
  3. Step 3: Cross multiply
    4,639.78x = 8,197.03 × 8,197.03
  4. Step 4: Simplify right side
    4,639.78x = 67,191,321.31
  5. Step 5: Solve for x
    x = 67,191,321.31/4,639.78
  6. Step 6: Final answer
    x = 14,481.57

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.