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Finding the Third Proportional to 18,194.63 and 38,120.63

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Solution

The third proportional to 18,194.63 and 38,120.63 is: 79,868.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.63 : 38,120.63 = 38,120.63 : x
  2. Step 2: Convert to fraction form
    18,194.63/38,120.63 = 38,120.63/x
  3. Step 3: Cross multiply
    18,194.63x = 38,120.63 × 38,120.63
  4. Step 4: Simplify right side
    18,194.63x = 1,453,182,050.39
  5. Step 5: Solve for x
    x = 1,453,182,050.39/18,194.63
  6. Step 6: Final answer
    x = 79,868.76

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.