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Finding the Third Proportional to 18,959.50 and 40,781

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Solution

The third proportional to 18,959.50 and 40,781 is: 87,718.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,959.50 : 40,781 = 40,781 : x
  2. Step 2: Convert to fraction form
    18,959.50/40,781 = 40,781/x
  3. Step 3: Cross multiply
    18,959.50x = 40,781 × 40,781
  4. Step 4: Simplify right side
    18,959.50x = 1,663,089,961
  5. Step 5: Solve for x
    x = 1,663,089,961/18,959.50
  6. Step 6: Final answer
    x = 87,718.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.