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Finding the Third Proportional to 4,367.36 and 6,918.86

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Solution

The third proportional to 4,367.36 and 6,918.86 is: 10,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.36 : 6,918.86 = 6,918.86 : x
  2. Step 2: Convert to fraction form
    4,367.36/6,918.86 = 6,918.86/x
  3. Step 3: Cross multiply
    4,367.36x = 6,918.86 × 6,918.86
  4. Step 4: Simplify right side
    4,367.36x = 47,870,561.00
  5. Step 5: Solve for x
    x = 47,870,561.00/4,367.36
  6. Step 6: Final answer
    x = 10,960.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.