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Finding the Third Proportional to 19,941 and 41,947.50

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Solution

The third proportional to 19,941 and 41,947.50 is: 88,239.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941 : 41,947.50 = 41,947.50 : x
  2. Step 2: Convert to fraction form
    19,941/41,947.50 = 41,947.50/x
  3. Step 3: Cross multiply
    19,941x = 41,947.50 × 41,947.50
  4. Step 4: Simplify right side
    19,941x = 1,759,592,756.25
  5. Step 5: Solve for x
    x = 1,759,592,756.25/19,941
  6. Step 6: Final answer
    x = 88,239.95

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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.