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Finding the Third Proportional to 18,682 and 28,414

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Solution

The third proportional to 18,682 and 28,414 is: 43,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682 : 28,414 = 28,414 : x
  2. Step 2: Convert to fraction form
    18,682/28,414 = 28,414/x
  3. Step 3: Cross multiply
    18,682x = 28,414 × 28,414
  4. Step 4: Simplify right side
    18,682x = 807,355,396
  5. Step 5: Solve for x
    x = 807,355,396/18,682
  6. Step 6: Final answer
    x = 43,215.68

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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.