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Finding the Third Proportional to 19,947 and 41,959.50

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Solution

The third proportional to 19,947 and 41,959.50 is: 88,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,947 : 41,959.50 = 41,959.50 : x
  2. Step 2: Convert to fraction form
    19,947/41,959.50 = 41,959.50/x
  3. Step 3: Cross multiply
    19,947x = 41,959.50 × 41,959.50
  4. Step 4: Simplify right side
    19,947x = 1,760,599,640.25
  5. Step 5: Solve for x
    x = 1,760,599,640.25/19,947
  6. Step 6: Final answer
    x = 88,263.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.