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Finding the Third Proportional to 4,571.06 and 9,835.69

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Solution

The third proportional to 4,571.06 and 9,835.69 is: 21,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.06 : 9,835.69 = 9,835.69 : x
  2. Step 2: Convert to fraction form
    4,571.06/9,835.69 = 9,835.69/x
  3. Step 3: Cross multiply
    4,571.06x = 9,835.69 × 9,835.69
  4. Step 4: Simplify right side
    4,571.06x = 96,740,748.60
  5. Step 5: Solve for x
    x = 96,740,748.60/4,571.06
  6. Step 6: Final answer
    x = 21,163.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.