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Finding the Third Proportional to 3,024.75 and 4,559.25

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Solution

The third proportional to 3,024.75 and 4,559.25 is: 6,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.75 : 4,559.25 = 4,559.25 : x
  2. Step 2: Convert to fraction form
    3,024.75/4,559.25 = 4,559.25/x
  3. Step 3: Cross multiply
    3,024.75x = 4,559.25 × 4,559.25
  4. Step 4: Simplify right side
    3,024.75x = 20,786,760.56
  5. Step 5: Solve for x
    x = 20,786,760.56/3,024.75
  6. Step 6: Final answer
    x = 6,872.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.