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Finding the Third Proportional to 3,593.74 and 7,614.63

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Solution

The third proportional to 3,593.74 and 7,614.63 is: 16,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.74 : 7,614.63 = 7,614.63 : x
  2. Step 2: Convert to fraction form
    3,593.74/7,614.63 = 7,614.63/x
  3. Step 3: Cross multiply
    3,593.74x = 7,614.63 × 7,614.63
  4. Step 4: Simplify right side
    3,593.74x = 57,982,632.87
  5. Step 5: Solve for x
    x = 57,982,632.87/3,593.74
  6. Step 6: Final answer
    x = 16,134.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.