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Finding the Third Proportional to 9,505.69 and 14,796.84

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Solution

The third proportional to 9,505.69 and 14,796.84 is: 23,033.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.69 : 14,796.84 = 14,796.84 : x
  2. Step 2: Convert to fraction form
    9,505.69/14,796.84 = 14,796.84/x
  3. Step 3: Cross multiply
    9,505.69x = 14,796.84 × 14,796.84
  4. Step 4: Simplify right side
    9,505.69x = 218,946,584.96
  5. Step 5: Solve for x
    x = 218,946,584.96/9,505.69
  6. Step 6: Final answer
    x = 23,033.22

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.