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Finding the Third Proportional to 5,856.05 and 12,804.33

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Solution

The third proportional to 5,856.05 and 12,804.33 is: 27,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.05 : 12,804.33 = 12,804.33 : x
  2. Step 2: Convert to fraction form
    5,856.05/12,804.33 = 12,804.33/x
  3. Step 3: Cross multiply
    5,856.05x = 12,804.33 × 12,804.33
  4. Step 4: Simplify right side
    5,856.05x = 163,950,818.73
  5. Step 5: Solve for x
    x = 163,950,818.73/5,856.05
  6. Step 6: Final answer
    x = 27,996.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.