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Finding the Third Proportional to 10,726 and 18,908

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Solution

The third proportional to 10,726 and 18,908 is: 33,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726 : 18,908 = 18,908 : x
  2. Step 2: Convert to fraction form
    10,726/18,908 = 18,908/x
  3. Step 3: Cross multiply
    10,726x = 18,908 × 18,908
  4. Step 4: Simplify right side
    10,726x = 357,512,464
  5. Step 5: Solve for x
    x = 357,512,464/10,726
  6. Step 6: Final answer
    x = 33,331.39

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.