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Finding the Third Proportional to 20,106 and 38,055

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Solution

The third proportional to 20,106 and 38,055 is: 72,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 38,055 = 38,055 : x
  2. Step 2: Convert to fraction form
    20,106/38,055 = 38,055/x
  3. Step 3: Cross multiply
    20,106x = 38,055 × 38,055
  4. Step 4: Simplify right side
    20,106x = 1,448,183,025
  5. Step 5: Solve for x
    x = 1,448,183,025/20,106
  6. Step 6: Final answer
    x = 72,027.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.