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Finding the Third Proportional to 10,854 and 11,838

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Solution

The third proportional to 10,854 and 11,838 is: 12,911.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854 : 11,838 = 11,838 : x
  2. Step 2: Convert to fraction form
    10,854/11,838 = 11,838/x
  3. Step 3: Cross multiply
    10,854x = 11,838 × 11,838
  4. Step 4: Simplify right side
    10,854x = 140,138,244
  5. Step 5: Solve for x
    x = 140,138,244/10,854
  6. Step 6: Final answer
    x = 12,911.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.