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Finding the Third Proportional to 3,702.75 and 4,107.75

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Solution

The third proportional to 3,702.75 and 4,107.75 is: 4,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.75 : 4,107.75 = 4,107.75 : x
  2. Step 2: Convert to fraction form
    3,702.75/4,107.75 = 4,107.75/x
  3. Step 3: Cross multiply
    3,702.75x = 4,107.75 × 4,107.75
  4. Step 4: Simplify right side
    3,702.75x = 16,873,610.06
  5. Step 5: Solve for x
    x = 16,873,610.06/3,702.75
  6. Step 6: Final answer
    x = 4,557.05

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.