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Finding the Third Proportional to 9,438.19 and 19,286.44

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Solution

The third proportional to 9,438.19 and 19,286.44 is: 39,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.19 : 19,286.44 = 19,286.44 : x
  2. Step 2: Convert to fraction form
    9,438.19/19,286.44 = 19,286.44/x
  3. Step 3: Cross multiply
    9,438.19x = 19,286.44 × 19,286.44
  4. Step 4: Simplify right side
    9,438.19x = 371,966,671.44
  5. Step 5: Solve for x
    x = 371,966,671.44/9,438.19
  6. Step 6: Final answer
    x = 39,410.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.