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Finding the Third Proportional to 4,407.75 and 7,836.75

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Solution

The third proportional to 4,407.75 and 7,836.75 is: 13,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.75 : 7,836.75 = 7,836.75 : x
  2. Step 2: Convert to fraction form
    4,407.75/7,836.75 = 7,836.75/x
  3. Step 3: Cross multiply
    4,407.75x = 7,836.75 × 7,836.75
  4. Step 4: Simplify right side
    4,407.75x = 61,414,650.56
  5. Step 5: Solve for x
    x = 61,414,650.56/4,407.75
  6. Step 6: Final answer
    x = 13,933.33

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.