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Finding the Third Proportional to 10,131.75 and 21,824.44

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Solution

The third proportional to 10,131.75 and 21,824.44 is: 47,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.75 : 21,824.44 = 21,824.44 : x
  2. Step 2: Convert to fraction form
    10,131.75/21,824.44 = 21,824.44/x
  3. Step 3: Cross multiply
    10,131.75x = 21,824.44 × 21,824.44
  4. Step 4: Simplify right side
    10,131.75x = 476,306,072.19
  5. Step 5: Solve for x
    x = 476,306,072.19/10,131.75
  6. Step 6: Final answer
    x = 47,011.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.