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Finding the Third Proportional to 16,462 and 35,844

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Solution

The third proportional to 16,462 and 35,844 is: 78,045.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 35,844 = 35,844 : x
  2. Step 2: Convert to fraction form
    16,462/35,844 = 35,844/x
  3. Step 3: Cross multiply
    16,462x = 35,844 × 35,844
  4. Step 4: Simplify right side
    16,462x = 1,284,792,336
  5. Step 5: Solve for x
    x = 1,284,792,336/16,462
  6. Step 6: Final answer
    x = 78,045.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.