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Finding the Third Proportional to 1,615.78 and 2,593.69

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Solution

The third proportional to 1,615.78 and 2,593.69 is: 4,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.78 : 2,593.69 = 2,593.69 : x
  2. Step 2: Convert to fraction form
    1,615.78/2,593.69 = 2,593.69/x
  3. Step 3: Cross multiply
    1,615.78x = 2,593.69 × 2,593.69
  4. Step 4: Simplify right side
    1,615.78x = 6,727,214.85
  5. Step 5: Solve for x
    x = 6,727,214.85/1,615.78
  6. Step 6: Final answer
    x = 4,163.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.