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Finding the Third Proportional to 6,090.87 and 9,183.16

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Solution

The third proportional to 6,090.87 and 9,183.16 is: 13,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.87 : 9,183.16 = 9,183.16 : x
  2. Step 2: Convert to fraction form
    6,090.87/9,183.16 = 9,183.16/x
  3. Step 3: Cross multiply
    6,090.87x = 9,183.16 × 9,183.16
  4. Step 4: Simplify right side
    6,090.87x = 84,330,381.13
  5. Step 5: Solve for x
    x = 84,330,381.13/6,090.87
  6. Step 6: Final answer
    x = 13,845.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.