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Finding the Third Proportional to 7,846 and 17,765

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Solution

The third proportional to 7,846 and 17,765 is: 40,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 17,765 = 17,765 : x
  2. Step 2: Convert to fraction form
    7,846/17,765 = 17,765/x
  3. Step 3: Cross multiply
    7,846x = 17,765 × 17,765
  4. Step 4: Simplify right side
    7,846x = 315,595,225
  5. Step 5: Solve for x
    x = 315,595,225/7,846
  6. Step 6: Final answer
    x = 40,223.71

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.