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Finding the Third Proportional to 16,381 and 24,653

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Solution

The third proportional to 16,381 and 24,653 is: 37,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381 : 24,653 = 24,653 : x
  2. Step 2: Convert to fraction form
    16,381/24,653 = 24,653/x
  3. Step 3: Cross multiply
    16,381x = 24,653 × 24,653
  4. Step 4: Simplify right side
    16,381x = 607,770,409
  5. Step 5: Solve for x
    x = 607,770,409/16,381
  6. Step 6: Final answer
    x = 37,102.16

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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.