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Finding the Third Proportional to 10,803.23 and 23,104.97

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Solution

The third proportional to 10,803.23 and 23,104.97 is: 49,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.23 : 23,104.97 = 23,104.97 : x
  2. Step 2: Convert to fraction form
    10,803.23/23,104.97 = 23,104.97/x
  3. Step 3: Cross multiply
    10,803.23x = 23,104.97 × 23,104.97
  4. Step 4: Simplify right side
    10,803.23x = 533,839,580.94
  5. Step 5: Solve for x
    x = 533,839,580.94/10,803.23
  6. Step 6: Final answer
    x = 49,414.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.