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Finding the Third Proportional to 3,147.75 and 3,849.75

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Solution

The third proportional to 3,147.75 and 3,849.75 is: 4,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.75 : 3,849.75 = 3,849.75 : x
  2. Step 2: Convert to fraction form
    3,147.75/3,849.75 = 3,849.75/x
  3. Step 3: Cross multiply
    3,147.75x = 3,849.75 × 3,849.75
  4. Step 4: Simplify right side
    3,147.75x = 14,820,575.06
  5. Step 5: Solve for x
    x = 14,820,575.06/3,147.75
  6. Step 6: Final answer
    x = 4,708.31

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.