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Finding the Third Proportional to 2,852.50 and 3,271

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Solution

The third proportional to 2,852.50 and 3,271 is: 3,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.50 : 3,271 = 3,271 : x
  2. Step 2: Convert to fraction form
    2,852.50/3,271 = 3,271/x
  3. Step 3: Cross multiply
    2,852.50x = 3,271 × 3,271
  4. Step 4: Simplify right side
    2,852.50x = 10,699,441
  5. Step 5: Solve for x
    x = 10,699,441/2,852.50
  6. Step 6: Final answer
    x = 3,750.90

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.