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Finding the Third Proportional to 11,907 and 17,719

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Solution

The third proportional to 11,907 and 17,719 is: 26,367.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 17,719 = 17,719 : x
  2. Step 2: Convert to fraction form
    11,907/17,719 = 17,719/x
  3. Step 3: Cross multiply
    11,907x = 17,719 × 17,719
  4. Step 4: Simplify right side
    11,907x = 313,962,961
  5. Step 5: Solve for x
    x = 313,962,961/11,907
  6. Step 6: Final answer
    x = 26,367.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.