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Finding the Third Proportional to 9,795.75 and 20,839.50

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Solution

The third proportional to 9,795.75 and 20,839.50 is: 44,334.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.75 : 20,839.50 = 20,839.50 : x
  2. Step 2: Convert to fraction form
    9,795.75/20,839.50 = 20,839.50/x
  3. Step 3: Cross multiply
    9,795.75x = 20,839.50 × 20,839.50
  4. Step 4: Simplify right side
    9,795.75x = 434,284,760.25
  5. Step 5: Solve for x
    x = 434,284,760.25/9,795.75
  6. Step 6: Final answer
    x = 44,334.00

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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.