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Finding the Third Proportional to 19,706.25 and 41,968.50

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Solution

The third proportional to 19,706.25 and 41,968.50 is: 89,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.25 : 41,968.50 = 41,968.50 : x
  2. Step 2: Convert to fraction form
    19,706.25/41,968.50 = 41,968.50/x
  3. Step 3: Cross multiply
    19,706.25x = 41,968.50 × 41,968.50
  4. Step 4: Simplify right side
    19,706.25x = 1,761,354,992.25
  5. Step 5: Solve for x
    x = 1,761,354,992.25/19,706.25
  6. Step 6: Final answer
    x = 89,380.53

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.