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Finding the Third Proportional to 3,200 and 5,008

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Solution

The third proportional to 3,200 and 5,008 is: 7,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200 : 5,008 = 5,008 : x
  2. Step 2: Convert to fraction form
    3,200/5,008 = 5,008/x
  3. Step 3: Cross multiply
    3,200x = 5,008 × 5,008
  4. Step 4: Simplify right side
    3,200x = 25,080,064
  5. Step 5: Solve for x
    x = 25,080,064/3,200
  6. Step 6: Final answer
    x = 7,837.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.