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Finding the Third Proportional to 3,525.75 and 4,928.25

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Solution

The third proportional to 3,525.75 and 4,928.25 is: 6,888.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.75 : 4,928.25 = 4,928.25 : x
  2. Step 2: Convert to fraction form
    3,525.75/4,928.25 = 4,928.25/x
  3. Step 3: Cross multiply
    3,525.75x = 4,928.25 × 4,928.25
  4. Step 4: Simplify right side
    3,525.75x = 24,287,648.06
  5. Step 5: Solve for x
    x = 24,287,648.06/3,525.75
  6. Step 6: Final answer
    x = 6,888.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.