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Finding the Third Proportional to 3,504 and 4,903

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Solution

The third proportional to 3,504 and 4,903 is: 6,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504 : 4,903 = 4,903 : x
  2. Step 2: Convert to fraction form
    3,504/4,903 = 4,903/x
  3. Step 3: Cross multiply
    3,504x = 4,903 × 4,903
  4. Step 4: Simplify right side
    3,504x = 24,039,409
  5. Step 5: Solve for x
    x = 24,039,409/3,504
  6. Step 6: Final answer
    x = 6,860.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.