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Finding the Third Proportional to 811.69 and 1,163.53

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Solution

The third proportional to 811.69 and 1,163.53 is: 1,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.69 : 1,163.53 = 1,163.53 : x
  2. Step 2: Convert to fraction form
    811.69/1,163.53 = 1,163.53/x
  3. Step 3: Cross multiply
    811.69x = 1,163.53 × 1,163.53
  4. Step 4: Simplify right side
    811.69x = 1,353,804.97
  5. Step 5: Solve for x
    x = 1,353,804.97/811.69
  6. Step 6: Final answer
    x = 1,667.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.