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Finding the Third Proportional to 11,726 and 20,854

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Solution

The third proportional to 11,726 and 20,854 is: 37,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726 : 20,854 = 20,854 : x
  2. Step 2: Convert to fraction form
    11,726/20,854 = 20,854/x
  3. Step 3: Cross multiply
    11,726x = 20,854 × 20,854
  4. Step 4: Simplify right side
    11,726x = 434,889,316
  5. Step 5: Solve for x
    x = 434,889,316/11,726
  6. Step 6: Final answer
    x = 37,087.61

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.