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Finding the Third Proportional to 4,170.75 and 4,782.75

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Solution

The third proportional to 4,170.75 and 4,782.75 is: 5,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.75 : 4,782.75 = 4,782.75 : x
  2. Step 2: Convert to fraction form
    4,170.75/4,782.75 = 4,782.75/x
  3. Step 3: Cross multiply
    4,170.75x = 4,782.75 × 4,782.75
  4. Step 4: Simplify right side
    4,170.75x = 22,874,697.56
  5. Step 5: Solve for x
    x = 22,874,697.56/4,170.75
  6. Step 6: Final answer
    x = 5,484.55

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.