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Finding the Third Proportional to 8,530 and 17,842

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Solution

The third proportional to 8,530 and 17,842 is: 37,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530 : 17,842 = 17,842 : x
  2. Step 2: Convert to fraction form
    8,530/17,842 = 17,842/x
  3. Step 3: Cross multiply
    8,530x = 17,842 × 17,842
  4. Step 4: Simplify right side
    8,530x = 318,336,964
  5. Step 5: Solve for x
    x = 318,336,964/8,530
  6. Step 6: Final answer
    x = 37,319.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.