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Finding the Third Proportional to 8,968.50 and 18,334.50

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Solution

The third proportional to 8,968.50 and 18,334.50 is: 37,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,968.50 : 18,334.50 = 18,334.50 : x
  2. Step 2: Convert to fraction form
    8,968.50/18,334.50 = 18,334.50/x
  3. Step 3: Cross multiply
    8,968.50x = 18,334.50 × 18,334.50
  4. Step 4: Simplify right side
    8,968.50x = 336,153,890.25
  5. Step 5: Solve for x
    x = 336,153,890.25/8,968.50
  6. Step 6: Final answer
    x = 37,481.62

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.