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Finding the Third Proportional to 22,893.75 and 49,073.25

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Solution

The third proportional to 22,893.75 and 49,073.25 is: 105,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.75 : 49,073.25 = 49,073.25 : x
  2. Step 2: Convert to fraction form
    22,893.75/49,073.25 = 49,073.25/x
  3. Step 3: Cross multiply
    22,893.75x = 49,073.25 × 49,073.25
  4. Step 4: Simplify right side
    22,893.75x = 2,408,183,865.56
  5. Step 5: Solve for x
    x = 2,408,183,865.56/22,893.75
  6. Step 6: Final answer
    x = 105,189.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.