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Finding the Third Proportional to 23,563.48 and 51,273.28

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Solution

The third proportional to 23,563.48 and 51,273.28 is: 111,568.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.48 : 51,273.28 = 51,273.28 : x
  2. Step 2: Convert to fraction form
    23,563.48/51,273.28 = 51,273.28/x
  3. Step 3: Cross multiply
    23,563.48x = 51,273.28 × 51,273.28
  4. Step 4: Simplify right side
    23,563.48x = 2,628,949,370.14
  5. Step 5: Solve for x
    x = 2,628,949,370.14/23,563.48
  6. Step 6: Final answer
    x = 111,568.82

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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.