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Finding the Third Proportional to 3,090.66 and 6,333.19

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Solution

The third proportional to 3,090.66 and 6,333.19 is: 12,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.66 : 6,333.19 = 6,333.19 : x
  2. Step 2: Convert to fraction form
    3,090.66/6,333.19 = 6,333.19/x
  3. Step 3: Cross multiply
    3,090.66x = 6,333.19 × 6,333.19
  4. Step 4: Simplify right side
    3,090.66x = 40,109,263.91
  5. Step 5: Solve for x
    x = 40,109,263.91/3,090.66
  6. Step 6: Final answer
    x = 12,977.59

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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.