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Finding the Third Proportional to 6,649.75 and 13,603.25

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Solution

The third proportional to 6,649.75 and 13,603.25 is: 27,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.75 : 13,603.25 = 13,603.25 : x
  2. Step 2: Convert to fraction form
    6,649.75/13,603.25 = 13,603.25/x
  3. Step 3: Cross multiply
    6,649.75x = 13,603.25 × 13,603.25
  4. Step 4: Simplify right side
    6,649.75x = 185,048,410.56
  5. Step 5: Solve for x
    x = 185,048,410.56/6,649.75
  6. Step 6: Final answer
    x = 27,827.87

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.