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Finding the Third Proportional to 8,071 and 17,647

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Solution

The third proportional to 8,071 and 17,647 is: 38,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071 : 17,647 = 17,647 : x
  2. Step 2: Convert to fraction form
    8,071/17,647 = 17,647/x
  3. Step 3: Cross multiply
    8,071x = 17,647 × 17,647
  4. Step 4: Simplify right side
    8,071x = 311,416,609
  5. Step 5: Solve for x
    x = 311,416,609/8,071
  6. Step 6: Final answer
    x = 38,584.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.