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Finding the Third Proportional to 15,233.91 and 33,968.64

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Solution

The third proportional to 15,233.91 and 33,968.64 is: 75,743.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.91 : 33,968.64 = 33,968.64 : x
  2. Step 2: Convert to fraction form
    15,233.91/33,968.64 = 33,968.64/x
  3. Step 3: Cross multiply
    15,233.91x = 33,968.64 × 33,968.64
  4. Step 4: Simplify right side
    15,233.91x = 1,153,868,280.53
  5. Step 5: Solve for x
    x = 1,153,868,280.53/15,233.91
  6. Step 6: Final answer
    x = 75,743.43

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.