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Finding the Third Proportional to 8,321 and 18,205

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Solution

The third proportional to 8,321 and 18,205 is: 39,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321 : 18,205 = 18,205 : x
  2. Step 2: Convert to fraction form
    8,321/18,205 = 18,205/x
  3. Step 3: Cross multiply
    8,321x = 18,205 × 18,205
  4. Step 4: Simplify right side
    8,321x = 331,422,025
  5. Step 5: Solve for x
    x = 331,422,025/8,321
  6. Step 6: Final answer
    x = 39,829.59

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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.