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Finding the Third Proportional to 1,599.67 and 3,500.48

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Solution

The third proportional to 1,599.67 and 3,500.48 is: 7,659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.67 : 3,500.48 = 3,500.48 : x
  2. Step 2: Convert to fraction form
    1,599.67/3,500.48 = 3,500.48/x
  3. Step 3: Cross multiply
    1,599.67x = 3,500.48 × 3,500.48
  4. Step 4: Simplify right side
    1,599.67x = 12,253,370.35
  5. Step 5: Solve for x
    x = 12,253,370.35/1,599.67
  6. Step 6: Final answer
    x = 7,659.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.