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Finding the Third Proportional to 12,161.81 and 15,540.19

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Solution

The third proportional to 12,161.81 and 15,540.19 is: 19,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.81 : 15,540.19 = 15,540.19 : x
  2. Step 2: Convert to fraction form
    12,161.81/15,540.19 = 15,540.19/x
  3. Step 3: Cross multiply
    12,161.81x = 15,540.19 × 15,540.19
  4. Step 4: Simplify right side
    12,161.81x = 241,497,427.54
  5. Step 5: Solve for x
    x = 241,497,427.54/12,161.81
  6. Step 6: Final answer
    x = 19,857.03

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.