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Finding the Third Proportional to 3,205 and 4,873

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Solution

The third proportional to 3,205 and 4,873 is: 7,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205 : 4,873 = 4,873 : x
  2. Step 2: Convert to fraction form
    3,205/4,873 = 4,873/x
  3. Step 3: Cross multiply
    3,205x = 4,873 × 4,873
  4. Step 4: Simplify right side
    3,205x = 23,746,129
  5. Step 5: Solve for x
    x = 23,746,129/3,205
  6. Step 6: Final answer
    x = 7,409.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.