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Finding the Third Proportional to 16,968 and 35,100

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Solution

The third proportional to 16,968 and 35,100 is: 72,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,968 : 35,100 = 35,100 : x
  2. Step 2: Convert to fraction form
    16,968/35,100 = 35,100/x
  3. Step 3: Cross multiply
    16,968x = 35,100 × 35,100
  4. Step 4: Simplify right side
    16,968x = 1,232,010,000
  5. Step 5: Solve for x
    x = 1,232,010,000/16,968
  6. Step 6: Final answer
    x = 72,607.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.