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Finding the Third Proportional to 11,884.69 and 18,393.01

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Solution

The third proportional to 11,884.69 and 18,393.01 is: 28,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.69 : 18,393.01 = 18,393.01 : x
  2. Step 2: Convert to fraction form
    11,884.69/18,393.01 = 18,393.01/x
  3. Step 3: Cross multiply
    11,884.69x = 18,393.01 × 18,393.01
  4. Step 4: Simplify right side
    11,884.69x = 338,302,880.09
  5. Step 5: Solve for x
    x = 338,302,880.09/11,884.69
  6. Step 6: Final answer
    x = 28,465.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.