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Finding the Third Proportional to 2,621.50 and 3,500

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Solution

The third proportional to 2,621.50 and 3,500 is: 4,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.50 : 3,500 = 3,500 : x
  2. Step 2: Convert to fraction form
    2,621.50/3,500 = 3,500/x
  3. Step 3: Cross multiply
    2,621.50x = 3,500 × 3,500
  4. Step 4: Simplify right side
    2,621.50x = 12,250,000
  5. Step 5: Solve for x
    x = 12,250,000/2,621.50
  6. Step 6: Final answer
    x = 4,672.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.