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Finding the Third Proportional to 17,530 and 23,620

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Solution

The third proportional to 17,530 and 23,620 is: 31,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530 : 23,620 = 23,620 : x
  2. Step 2: Convert to fraction form
    17,530/23,620 = 23,620/x
  3. Step 3: Cross multiply
    17,530x = 23,620 × 23,620
  4. Step 4: Simplify right side
    17,530x = 557,904,400
  5. Step 5: Solve for x
    x = 557,904,400/17,530
  6. Step 6: Final answer
    x = 31,825.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.