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Finding the Third Proportional to 19,086.75 and 20,544.75

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Solution

The third proportional to 19,086.75 and 20,544.75 is: 22,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,086.75 : 20,544.75 = 20,544.75 : x
  2. Step 2: Convert to fraction form
    19,086.75/20,544.75 = 20,544.75/x
  3. Step 3: Cross multiply
    19,086.75x = 20,544.75 × 20,544.75
  4. Step 4: Simplify right side
    19,086.75x = 422,086,752.56
  5. Step 5: Solve for x
    x = 422,086,752.56/19,086.75
  6. Step 6: Final answer
    x = 22,114.12

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.