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Finding the Third Proportional to 11,968 and 18,932

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Solution

The third proportional to 11,968 and 18,932 is: 29,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968 : 18,932 = 18,932 : x
  2. Step 2: Convert to fraction form
    11,968/18,932 = 18,932/x
  3. Step 3: Cross multiply
    11,968x = 18,932 × 18,932
  4. Step 4: Simplify right side
    11,968x = 358,420,624
  5. Step 5: Solve for x
    x = 358,420,624/11,968
  6. Step 6: Final answer
    x = 29,948.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.