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Finding the Third Proportional to 18,092 and 36,616

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Solution

The third proportional to 18,092 and 36,616 is: 74,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,092 : 36,616 = 36,616 : x
  2. Step 2: Convert to fraction form
    18,092/36,616 = 36,616/x
  3. Step 3: Cross multiply
    18,092x = 36,616 × 36,616
  4. Step 4: Simplify right side
    18,092x = 1,340,731,456
  5. Step 5: Solve for x
    x = 1,340,731,456/18,092
  6. Step 6: Final answer
    x = 74,106.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.