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Finding the Third Proportional to 10,814.25 and 23,976.75

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Solution

The third proportional to 10,814.25 and 23,976.75 is: 53,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.25 : 23,976.75 = 23,976.75 : x
  2. Step 2: Convert to fraction form
    10,814.25/23,976.75 = 23,976.75/x
  3. Step 3: Cross multiply
    10,814.25x = 23,976.75 × 23,976.75
  4. Step 4: Simplify right side
    10,814.25x = 574,884,540.56
  5. Step 5: Solve for x
    x = 574,884,540.56/10,814.25
  6. Step 6: Final answer
    x = 53,159.91

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.