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Finding the Third Proportional to 3,090.66 and 4,144.92

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Solution

The third proportional to 3,090.66 and 4,144.92 is: 5,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.66 : 4,144.92 = 4,144.92 : x
  2. Step 2: Convert to fraction form
    3,090.66/4,144.92 = 4,144.92/x
  3. Step 3: Cross multiply
    3,090.66x = 4,144.92 × 4,144.92
  4. Step 4: Simplify right side
    3,090.66x = 17,180,377.35
  5. Step 5: Solve for x
    x = 17,180,377.35/3,090.66
  6. Step 6: Final answer
    x = 5,558.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.