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Finding the Third Proportional to 19,824.75 and 41,964.75

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Solution

The third proportional to 19,824.75 and 41,964.75 is: 88,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824.75 : 41,964.75 = 41,964.75 : x
  2. Step 2: Convert to fraction form
    19,824.75/41,964.75 = 41,964.75/x
  3. Step 3: Cross multiply
    19,824.75x = 41,964.75 × 41,964.75
  4. Step 4: Simplify right side
    19,824.75x = 1,761,040,242.56
  5. Step 5: Solve for x
    x = 1,761,040,242.56/19,824.75
  6. Step 6: Final answer
    x = 88,830.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.