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Finding the Third Proportional to 2,893.22 and 3,840.54

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Solution

The third proportional to 2,893.22 and 3,840.54 is: 5,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.22 : 3,840.54 = 3,840.54 : x
  2. Step 2: Convert to fraction form
    2,893.22/3,840.54 = 3,840.54/x
  3. Step 3: Cross multiply
    2,893.22x = 3,840.54 × 3,840.54
  4. Step 4: Simplify right side
    2,893.22x = 14,749,740.29
  5. Step 5: Solve for x
    x = 14,749,740.29/2,893.22
  6. Step 6: Final answer
    x = 5,098.04

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.