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Finding the Third Proportional to 3,849 and 5,664.75

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Solution

The third proportional to 3,849 and 5,664.75 is: 8,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849 : 5,664.75 = 5,664.75 : x
  2. Step 2: Convert to fraction form
    3,849/5,664.75 = 5,664.75/x
  3. Step 3: Cross multiply
    3,849x = 5,664.75 × 5,664.75
  4. Step 4: Simplify right side
    3,849x = 32,089,392.56
  5. Step 5: Solve for x
    x = 32,089,392.56/3,849
  6. Step 6: Final answer
    x = 8,337.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.