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Finding the Third Proportional to 8,146 and 12,381

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Solution

The third proportional to 8,146 and 12,381 is: 18,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146 : 12,381 = 12,381 : x
  2. Step 2: Convert to fraction form
    8,146/12,381 = 12,381/x
  3. Step 3: Cross multiply
    8,146x = 12,381 × 12,381
  4. Step 4: Simplify right side
    8,146x = 153,289,161
  5. Step 5: Solve for x
    x = 153,289,161/8,146
  6. Step 6: Final answer
    x = 18,817.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.