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Finding the Third Proportional to 12,079 and 16,254

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Solution

The third proportional to 12,079 and 16,254 is: 21,872.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079 : 16,254 = 16,254 : x
  2. Step 2: Convert to fraction form
    12,079/16,254 = 16,254/x
  3. Step 3: Cross multiply
    12,079x = 16,254 × 16,254
  4. Step 4: Simplify right side
    12,079x = 264,192,516
  5. Step 5: Solve for x
    x = 264,192,516/12,079
  6. Step 6: Final answer
    x = 21,872.05

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.