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Finding the Third Proportional to 8,254 and 12,199

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Solution

The third proportional to 8,254 and 12,199 is: 18,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254 : 12,199 = 12,199 : x
  2. Step 2: Convert to fraction form
    8,254/12,199 = 12,199/x
  3. Step 3: Cross multiply
    8,254x = 12,199 × 12,199
  4. Step 4: Simplify right side
    8,254x = 148,815,601
  5. Step 5: Solve for x
    x = 148,815,601/8,254
  6. Step 6: Final answer
    x = 18,029.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.