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Finding the Third Proportional to 21,816.25 and 32,906.63

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Solution

The third proportional to 21,816.25 and 32,906.63 is: 49,634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,816.25 : 32,906.63 = 32,906.63 : x
  2. Step 2: Convert to fraction form
    21,816.25/32,906.63 = 32,906.63/x
  3. Step 3: Cross multiply
    21,816.25x = 32,906.63 × 32,906.63
  4. Step 4: Simplify right side
    21,816.25x = 1,082,845,968.89
  5. Step 5: Solve for x
    x = 1,082,845,968.89/21,816.25
  6. Step 6: Final answer
    x = 49,634.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.