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Finding the Third Proportional to 4,859.44 and 10,410.75

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Solution

The third proportional to 4,859.44 and 10,410.75 is: 22,303.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859.44 : 10,410.75 = 10,410.75 : x
  2. Step 2: Convert to fraction form
    4,859.44/10,410.75 = 10,410.75/x
  3. Step 3: Cross multiply
    4,859.44x = 10,410.75 × 10,410.75
  4. Step 4: Simplify right side
    4,859.44x = 108,383,715.56
  5. Step 5: Solve for x
    x = 108,383,715.56/4,859.44
  6. Step 6: Final answer
    x = 22,303.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.