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Finding the Third Proportional to 3,571.59 and 7,659.56

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Solution

The third proportional to 3,571.59 and 7,659.56 is: 16,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.59 : 7,659.56 = 7,659.56 : x
  2. Step 2: Convert to fraction form
    3,571.59/7,659.56 = 7,659.56/x
  3. Step 3: Cross multiply
    3,571.59x = 7,659.56 × 7,659.56
  4. Step 4: Simplify right side
    3,571.59x = 58,668,897.69
  5. Step 5: Solve for x
    x = 58,668,897.69/3,571.59
  6. Step 6: Final answer
    x = 16,426.53

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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.