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Finding the Third Proportional to 19,941.19 and 41,947.88

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Solution

The third proportional to 19,941.19 and 41,947.88 is: 88,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.19 : 41,947.88 = 41,947.88 : x
  2. Step 2: Convert to fraction form
    19,941.19/41,947.88 = 41,947.88/x
  3. Step 3: Cross multiply
    19,941.19x = 41,947.88 × 41,947.88
  4. Step 4: Simplify right side
    19,941.19x = 1,759,624,217.02
  5. Step 5: Solve for x
    x = 1,759,624,217.02/19,941.19
  6. Step 6: Final answer
    x = 88,240.69

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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.