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Finding the Third Proportional to 16,968 and 40,116

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Solution

The third proportional to 16,968 and 40,116 is: 94,842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968 : 40,116 = 40,116 : x
  2. Step 2: Convert to fraction form
    16,968/40,116 = 40,116/x
  3. Step 3: Cross multiply
    16,968x = 40,116 × 40,116
  4. Step 4: Simplify right side
    16,968x = 1,609,293,456
  5. Step 5: Solve for x
    x = 1,609,293,456/16,968
  6. Step 6: Final answer
    x = 94,842.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.