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Finding the Third Proportional to 18,258.38 and 38,361.56

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Solution

The third proportional to 18,258.38 and 38,361.56 is: 80,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,258.38 : 38,361.56 = 38,361.56 : x
  2. Step 2: Convert to fraction form
    18,258.38/38,361.56 = 38,361.56/x
  3. Step 3: Cross multiply
    18,258.38x = 38,361.56 × 38,361.56
  4. Step 4: Simplify right side
    18,258.38x = 1,471,609,477.44
  5. Step 5: Solve for x
    x = 1,471,609,477.44/18,258.38
  6. Step 6: Final answer
    x = 80,599.15

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Why These Related Problems?

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