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Finding the Third Proportional to 18,088 and 41,692

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Solution

The third proportional to 18,088 and 41,692 is: 96,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,088 : 41,692 = 41,692 : x
  2. Step 2: Convert to fraction form
    18,088/41,692 = 41,692/x
  3. Step 3: Cross multiply
    18,088x = 41,692 × 41,692
  4. Step 4: Simplify right side
    18,088x = 1,738,222,864
  5. Step 5: Solve for x
    x = 1,738,222,864/18,088
  6. Step 6: Final answer
    x = 96,098.12

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.