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Finding the Third Proportional to 3,702.75 and 5,090.25

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Solution

The third proportional to 3,702.75 and 5,090.25 is: 6,997.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.75 : 5,090.25 = 5,090.25 : x
  2. Step 2: Convert to fraction form
    3,702.75/5,090.25 = 5,090.25/x
  3. Step 3: Cross multiply
    3,702.75x = 5,090.25 × 5,090.25
  4. Step 4: Simplify right side
    3,702.75x = 25,910,645.06
  5. Step 5: Solve for x
    x = 25,910,645.06/3,702.75
  6. Step 6: Final answer
    x = 6,997.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.