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Finding the Third Proportional to 23,057 and 46,961

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Solution

The third proportional to 23,057 and 46,961 is: 95,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,057 : 46,961 = 46,961 : x
  2. Step 2: Convert to fraction form
    23,057/46,961 = 46,961/x
  3. Step 3: Cross multiply
    23,057x = 46,961 × 46,961
  4. Step 4: Simplify right side
    23,057x = 2,205,335,521
  5. Step 5: Solve for x
    x = 2,205,335,521/23,057
  6. Step 6: Final answer
    x = 95,647.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.