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Finding the Third Proportional to 18,682 and 28,025

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Solution

The third proportional to 18,682 and 28,025 is: 42,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,682 : 28,025 = 28,025 : x
  2. Step 2: Convert to fraction form
    18,682/28,025 = 28,025/x
  3. Step 3: Cross multiply
    18,682x = 28,025 × 28,025
  4. Step 4: Simplify right side
    18,682x = 785,400,625
  5. Step 5: Solve for x
    x = 785,400,625/18,682
  6. Step 6: Final answer
    x = 42,040.50

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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.