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Finding the Third Proportional to 4,296.94 and 8,867.81

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Solution

The third proportional to 4,296.94 and 8,867.81 is: 18,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.94 : 8,867.81 = 8,867.81 : x
  2. Step 2: Convert to fraction form
    4,296.94/8,867.81 = 8,867.81/x
  3. Step 3: Cross multiply
    4,296.94x = 8,867.81 × 8,867.81
  4. Step 4: Simplify right side
    4,296.94x = 78,638,098.54
  5. Step 5: Solve for x
    x = 78,638,098.54/4,296.94
  6. Step 6: Final answer
    x = 18,300.96

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.