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Finding the Third Proportional to 3,464.44 and 5,090.34

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Solution

The third proportional to 3,464.44 and 5,090.34 is: 7,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.44 : 5,090.34 = 5,090.34 : x
  2. Step 2: Convert to fraction form
    3,464.44/5,090.34 = 5,090.34/x
  3. Step 3: Cross multiply
    3,464.44x = 5,090.34 × 5,090.34
  4. Step 4: Simplify right side
    3,464.44x = 25,911,599.49
  5. Step 5: Solve for x
    x = 25,911,599.49/3,464.44
  6. Step 6: Final answer
    x = 7,479.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.