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Finding the Third Proportional to 11,891.81 and 18,352.20

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Solution

The third proportional to 11,891.81 and 18,352.20 is: 28,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.81 : 18,352.20 = 18,352.20 : x
  2. Step 2: Convert to fraction form
    11,891.81/18,352.20 = 18,352.20/x
  3. Step 3: Cross multiply
    11,891.81x = 18,352.20 × 18,352.20
  4. Step 4: Simplify right side
    11,891.81x = 336,803,072.79
  5. Step 5: Solve for x
    x = 336,803,072.79/11,891.81
  6. Step 6: Final answer
    x = 28,322.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.