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Finding the Third Proportional to 10,914.75 and 23,807.25

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Solution

The third proportional to 10,914.75 and 23,807.25 is: 51,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.75 : 23,807.25 = 23,807.25 : x
  2. Step 2: Convert to fraction form
    10,914.75/23,807.25 = 23,807.25/x
  3. Step 3: Cross multiply
    10,914.75x = 23,807.25 × 23,807.25
  4. Step 4: Simplify right side
    10,914.75x = 566,785,152.56
  5. Step 5: Solve for x
    x = 566,785,152.56/10,914.75
  6. Step 6: Final answer
    x = 51,928.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.