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Finding the Third Proportional to 16,116 and 34,990

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Solution

The third proportional to 16,116 and 34,990 is: 75,967.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116 : 34,990 = 34,990 : x
  2. Step 2: Convert to fraction form
    16,116/34,990 = 34,990/x
  3. Step 3: Cross multiply
    16,116x = 34,990 × 34,990
  4. Step 4: Simplify right side
    16,116x = 1,224,300,100
  5. Step 5: Solve for x
    x = 1,224,300,100/16,116
  6. Step 6: Final answer
    x = 75,967.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.