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Finding the Third Proportional to 9,207 and 18,846

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Solution

The third proportional to 9,207 and 18,846 is: 38,576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207 : 18,846 = 18,846 : x
  2. Step 2: Convert to fraction form
    9,207/18,846 = 18,846/x
  3. Step 3: Cross multiply
    9,207x = 18,846 × 18,846
  4. Step 4: Simplify right side
    9,207x = 355,171,716
  5. Step 5: Solve for x
    x = 355,171,716/9,207
  6. Step 6: Final answer
    x = 38,576.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.