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Finding the Third Proportional to 18,453.38 and 38,219.63

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Solution

The third proportional to 18,453.38 and 38,219.63 is: 79,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,453.38 : 38,219.63 = 38,219.63 : x
  2. Step 2: Convert to fraction form
    18,453.38/38,219.63 = 38,219.63/x
  3. Step 3: Cross multiply
    18,453.38x = 38,219.63 × 38,219.63
  4. Step 4: Simplify right side
    18,453.38x = 1,460,739,735.14
  5. Step 5: Solve for x
    x = 1,460,739,735.14/18,453.38
  6. Step 6: Final answer
    x = 79,158.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.