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Finding the Third Proportional to 5,677.75 and 13,738.75

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Solution

The third proportional to 5,677.75 and 13,738.75 is: 33,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.75 : 13,738.75 = 13,738.75 : x
  2. Step 2: Convert to fraction form
    5,677.75/13,738.75 = 13,738.75/x
  3. Step 3: Cross multiply
    5,677.75x = 13,738.75 × 13,738.75
  4. Step 4: Simplify right side
    5,677.75x = 188,753,251.56
  5. Step 5: Solve for x
    x = 188,753,251.56/5,677.75
  6. Step 6: Final answer
    x = 33,244.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.