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Finding the Third Proportional to 3,090.38 and 6,795.84

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Solution

The third proportional to 3,090.38 and 6,795.84 is: 14,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.38 : 6,795.84 = 6,795.84 : x
  2. Step 2: Convert to fraction form
    3,090.38/6,795.84 = 6,795.84/x
  3. Step 3: Cross multiply
    3,090.38x = 6,795.84 × 6,795.84
  4. Step 4: Simplify right side
    3,090.38x = 46,183,492.27
  5. Step 5: Solve for x
    x = 46,183,492.27/3,090.38
  6. Step 6: Final answer
    x = 14,944.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.