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Finding the Third Proportional to 19,941.75 and 22,007.25

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Solution

The third proportional to 19,941.75 and 22,007.25 is: 24,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,941.75 : 22,007.25 = 22,007.25 : x
  2. Step 2: Convert to fraction form
    19,941.75/22,007.25 = 22,007.25/x
  3. Step 3: Cross multiply
    19,941.75x = 22,007.25 × 22,007.25
  4. Step 4: Simplify right side
    19,941.75x = 484,319,052.56
  5. Step 5: Solve for x
    x = 484,319,052.56/19,941.75
  6. Step 6: Final answer
    x = 24,286.69

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.