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Finding the Third Proportional to 12,119.63 and 18,622.41

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Solution

The third proportional to 12,119.63 and 18,622.41 is: 28,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.63 : 18,622.41 = 18,622.41 : x
  2. Step 2: Convert to fraction form
    12,119.63/18,622.41 = 18,622.41/x
  3. Step 3: Cross multiply
    12,119.63x = 18,622.41 × 18,622.41
  4. Step 4: Simplify right side
    12,119.63x = 346,794,014.54
  5. Step 5: Solve for x
    x = 346,794,014.54/12,119.63
  6. Step 6: Final answer
    x = 28,614.25

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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.