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Finding the Third Proportional to 3,844.13 and 5,477.63

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Solution

The third proportional to 3,844.13 and 5,477.63 is: 7,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.13 : 5,477.63 = 5,477.63 : x
  2. Step 2: Convert to fraction form
    3,844.13/5,477.63 = 5,477.63/x
  3. Step 3: Cross multiply
    3,844.13x = 5,477.63 × 5,477.63
  4. Step 4: Simplify right side
    3,844.13x = 30,004,375.64
  5. Step 5: Solve for x
    x = 30,004,375.64/3,844.13
  6. Step 6: Final answer
    x = 7,805.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.