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Finding the Third Proportional to 11,781 and 30,181.50

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Solution

The third proportional to 11,781 and 30,181.50 is: 77,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781 : 30,181.50 = 30,181.50 : x
  2. Step 2: Convert to fraction form
    11,781/30,181.50 = 30,181.50/x
  3. Step 3: Cross multiply
    11,781x = 30,181.50 × 30,181.50
  4. Step 4: Simplify right side
    11,781x = 910,922,942.25
  5. Step 5: Solve for x
    x = 910,922,942.25/11,781
  6. Step 6: Final answer
    x = 77,321.36

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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.