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Finding the Third Proportional to 12,381 and 18,630.38

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Solution

The third proportional to 12,381 and 18,630.38 is: 28,034.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381 : 18,630.38 = 18,630.38 : x
  2. Step 2: Convert to fraction form
    12,381/18,630.38 = 18,630.38/x
  3. Step 3: Cross multiply
    12,381x = 18,630.38 × 18,630.38
  4. Step 4: Simplify right side
    12,381x = 347,090,872.64
  5. Step 5: Solve for x
    x = 347,090,872.64/12,381
  6. Step 6: Final answer
    x = 28,034.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.