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Finding the Third Proportional to 16,692 and 35,968

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Solution

The third proportional to 16,692 and 35,968 is: 77,504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,692 : 35,968 = 35,968 : x
  2. Step 2: Convert to fraction form
    16,692/35,968 = 35,968/x
  3. Step 3: Cross multiply
    16,692x = 35,968 × 35,968
  4. Step 4: Simplify right side
    16,692x = 1,293,697,024
  5. Step 5: Solve for x
    x = 1,293,697,024/16,692
  6. Step 6: Final answer
    x = 77,504.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.