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Finding the Third Proportional to 3,531.75 and 3,855.75

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Solution

The third proportional to 3,531.75 and 3,855.75 is: 4,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.75 : 3,855.75 = 3,855.75 : x
  2. Step 2: Convert to fraction form
    3,531.75/3,855.75 = 3,855.75/x
  3. Step 3: Cross multiply
    3,531.75x = 3,855.75 × 3,855.75
  4. Step 4: Simplify right side
    3,531.75x = 14,866,808.06
  5. Step 5: Solve for x
    x = 14,866,808.06/3,531.75
  6. Step 6: Final answer
    x = 4,209.47

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.