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Finding the Third Proportional to 8,098 and 12,205

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Solution

The third proportional to 8,098 and 12,205 is: 18,394.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098 : 12,205 = 12,205 : x
  2. Step 2: Convert to fraction form
    8,098/12,205 = 12,205/x
  3. Step 3: Cross multiply
    8,098x = 12,205 × 12,205
  4. Step 4: Simplify right side
    8,098x = 148,962,025
  5. Step 5: Solve for x
    x = 148,962,025/8,098
  6. Step 6: Final answer
    x = 18,394.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.