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Finding the Third Proportional to 19,923 and 27,403.50

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Solution

The third proportional to 19,923 and 27,403.50 is: 37,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923 : 27,403.50 = 27,403.50 : x
  2. Step 2: Convert to fraction form
    19,923/27,403.50 = 27,403.50/x
  3. Step 3: Cross multiply
    19,923x = 27,403.50 × 27,403.50
  4. Step 4: Simplify right side
    19,923x = 750,951,812.25
  5. Step 5: Solve for x
    x = 750,951,812.25/19,923
  6. Step 6: Final answer
    x = 37,692.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.