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Finding the Third Proportional to 4,452.75 and 8,034.75

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Solution

The third proportional to 4,452.75 and 8,034.75 is: 14,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.75 : 8,034.75 = 8,034.75 : x
  2. Step 2: Convert to fraction form
    4,452.75/8,034.75 = 8,034.75/x
  3. Step 3: Cross multiply
    4,452.75x = 8,034.75 × 8,034.75
  4. Step 4: Simplify right side
    4,452.75x = 64,557,207.56
  5. Step 5: Solve for x
    x = 64,557,207.56/4,452.75
  6. Step 6: Final answer
    x = 14,498.28

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.