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Finding the Third Proportional to 3,369.75 and 3,603.75

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Solution

The third proportional to 3,369.75 and 3,603.75 is: 3,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.75 : 3,603.75 = 3,603.75 : x
  2. Step 2: Convert to fraction form
    3,369.75/3,603.75 = 3,603.75/x
  3. Step 3: Cross multiply
    3,369.75x = 3,603.75 × 3,603.75
  4. Step 4: Simplify right side
    3,369.75x = 12,987,014.06
  5. Step 5: Solve for x
    x = 12,987,014.06/3,369.75
  6. Step 6: Final answer
    x = 3,854.00

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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.