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Finding the Third Proportional to 4,464.25 and 8,523.25

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Solution

The third proportional to 4,464.25 and 8,523.25 is: 16,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.25 : 8,523.25 = 8,523.25 : x
  2. Step 2: Convert to fraction form
    4,464.25/8,523.25 = 8,523.25/x
  3. Step 3: Cross multiply
    4,464.25x = 8,523.25 × 8,523.25
  4. Step 4: Simplify right side
    4,464.25x = 72,645,790.56
  5. Step 5: Solve for x
    x = 72,645,790.56/4,464.25
  6. Step 6: Final answer
    x = 16,272.79

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.