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Finding the Third Proportional to 11,781 and 19,003.50

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Solution

The third proportional to 11,781 and 19,003.50 is: 30,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781 : 19,003.50 = 19,003.50 : x
  2. Step 2: Convert to fraction form
    11,781/19,003.50 = 19,003.50/x
  3. Step 3: Cross multiply
    11,781x = 19,003.50 × 19,003.50
  4. Step 4: Simplify right side
    11,781x = 361,133,012.25
  5. Step 5: Solve for x
    x = 361,133,012.25/11,781
  6. Step 6: Final answer
    x = 30,653.85

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.