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Finding the Third Proportional to 21,687.75 and 33,314.63

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Solution

The third proportional to 21,687.75 and 33,314.63 is: 51,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.75 : 33,314.63 = 33,314.63 : x
  2. Step 2: Convert to fraction form
    21,687.75/33,314.63 = 33,314.63/x
  3. Step 3: Cross multiply
    21,687.75x = 33,314.63 × 33,314.63
  4. Step 4: Simplify right side
    21,687.75x = 1,109,864,238.89
  5. Step 5: Solve for x
    x = 1,109,864,238.89/21,687.75
  6. Step 6: Final answer
    x = 51,174.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.