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Finding the Third Proportional to 7,399.69 and 11,176.31

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Solution

The third proportional to 7,399.69 and 11,176.31 is: 16,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,399.69 : 11,176.31 = 11,176.31 : x
  2. Step 2: Convert to fraction form
    7,399.69/11,176.31 = 11,176.31/x
  3. Step 3: Cross multiply
    7,399.69x = 11,176.31 × 11,176.31
  4. Step 4: Simplify right side
    7,399.69x = 124,909,961.10
  5. Step 5: Solve for x
    x = 124,909,961.10/7,399.69
  6. Step 6: Final answer
    x = 16,880.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.