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Finding the Third Proportional to 21,992 and 46,144

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Solution

The third proportional to 21,992 and 46,144 is: 96,820.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,992 : 46,144 = 46,144 : x
  2. Step 2: Convert to fraction form
    21,992/46,144 = 46,144/x
  3. Step 3: Cross multiply
    21,992x = 46,144 × 46,144
  4. Step 4: Simplify right side
    21,992x = 2,129,268,736
  5. Step 5: Solve for x
    x = 2,129,268,736/21,992
  6. Step 6: Final answer
    x = 96,820.15

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.