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Finding the Third Proportional to 2,795.25 and 5,820.38

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Solution

The third proportional to 2,795.25 and 5,820.38 is: 12,119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795.25 : 5,820.38 = 5,820.38 : x
  2. Step 2: Convert to fraction form
    2,795.25/5,820.38 = 5,820.38/x
  3. Step 3: Cross multiply
    2,795.25x = 5,820.38 × 5,820.38
  4. Step 4: Simplify right side
    2,795.25x = 33,876,765.14
  5. Step 5: Solve for x
    x = 33,876,765.14/2,795.25
  6. Step 6: Final answer
    x = 12,119.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.