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Finding the Third Proportional to 3,893.35 and 5,838.83

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Solution

The third proportional to 3,893.35 and 5,838.83 is: 8,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.35 : 5,838.83 = 5,838.83 : x
  2. Step 2: Convert to fraction form
    3,893.35/5,838.83 = 5,838.83/x
  3. Step 3: Cross multiply
    3,893.35x = 5,838.83 × 5,838.83
  4. Step 4: Simplify right side
    3,893.35x = 34,091,925.28
  5. Step 5: Solve for x
    x = 34,091,925.28/3,893.35
  6. Step 6: Final answer
    x = 8,756.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.