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Finding the Third Proportional to 2,050.88 and 4,845.94

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Solution

The third proportional to 2,050.88 and 4,845.94 is: 11,450.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.88 : 4,845.94 = 4,845.94 : x
  2. Step 2: Convert to fraction form
    2,050.88/4,845.94 = 4,845.94/x
  3. Step 3: Cross multiply
    2,050.88x = 4,845.94 × 4,845.94
  4. Step 4: Simplify right side
    2,050.88x = 23,483,110.25
  5. Step 5: Solve for x
    x = 23,483,110.25/2,050.88
  6. Step 6: Final answer
    x = 11,450.29

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.