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Finding the Third Proportional to 7,786 and 11,968

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Solution

The third proportional to 7,786 and 11,968 is: 18,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 11,968 = 11,968 : x
  2. Step 2: Convert to fraction form
    7,786/11,968 = 11,968/x
  3. Step 3: Cross multiply
    7,786x = 11,968 × 11,968
  4. Step 4: Simplify right side
    7,786x = 143,233,024
  5. Step 5: Solve for x
    x = 143,233,024/7,786
  6. Step 6: Final answer
    x = 18,396.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.