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Finding the Third Proportional to 19,037.25 and 21,912.75

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Solution

The third proportional to 19,037.25 and 21,912.75 is: 25,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,037.25 : 21,912.75 = 21,912.75 : x
  2. Step 2: Convert to fraction form
    19,037.25/21,912.75 = 21,912.75/x
  3. Step 3: Cross multiply
    19,037.25x = 21,912.75 × 21,912.75
  4. Step 4: Simplify right side
    19,037.25x = 480,168,612.56
  5. Step 5: Solve for x
    x = 480,168,612.56/19,037.25
  6. Step 6: Final answer
    x = 25,222.58

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.