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Finding the Third Proportional to 10,193 and 19,106

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Solution

The third proportional to 10,193 and 19,106 is: 35,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193 : 19,106 = 19,106 : x
  2. Step 2: Convert to fraction form
    10,193/19,106 = 19,106/x
  3. Step 3: Cross multiply
    10,193x = 19,106 × 19,106
  4. Step 4: Simplify right side
    10,193x = 365,039,236
  5. Step 5: Solve for x
    x = 365,039,236/10,193
  6. Step 6: Final answer
    x = 35,812.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.