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Finding the Third Proportional to 538.63 and 1,163.38

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Solution

The third proportional to 538.63 and 1,163.38 is: 2,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.63 : 1,163.38 = 1,163.38 : x
  2. Step 2: Convert to fraction form
    538.63/1,163.38 = 1,163.38/x
  3. Step 3: Cross multiply
    538.63x = 1,163.38 × 1,163.38
  4. Step 4: Simplify right side
    538.63x = 1,353,441.39
  5. Step 5: Solve for x
    x = 1,353,441.39/538.63
  6. Step 6: Final answer
    x = 2,512.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.