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Finding the Third Proportional to 10,914.75 and 23,568.47

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Solution

The third proportional to 10,914.75 and 23,568.47 is: 50,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.75 : 23,568.47 = 23,568.47 : x
  2. Step 2: Convert to fraction form
    10,914.75/23,568.47 = 23,568.47/x
  3. Step 3: Cross multiply
    10,914.75x = 23,568.47 × 23,568.47
  4. Step 4: Simplify right side
    10,914.75x = 555,472,719.22
  5. Step 5: Solve for x
    x = 555,472,719.22/10,914.75
  6. Step 6: Final answer
    x = 50,891.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.