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Finding the Third Proportional to 3,502 and 5,059

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Solution

The third proportional to 3,502 and 5,059 is: 7,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502 : 5,059 = 5,059 : x
  2. Step 2: Convert to fraction form
    3,502/5,059 = 5,059/x
  3. Step 3: Cross multiply
    3,502x = 5,059 × 5,059
  4. Step 4: Simplify right side
    3,502x = 25,593,481
  5. Step 5: Solve for x
    x = 25,593,481/3,502
  6. Step 6: Final answer
    x = 7,308.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.