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Finding the Third Proportional to 1,599.44 and 3,373.94

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Solution

The third proportional to 1,599.44 and 3,373.94 is: 7,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.44 : 3,373.94 = 3,373.94 : x
  2. Step 2: Convert to fraction form
    1,599.44/3,373.94 = 3,373.94/x
  3. Step 3: Cross multiply
    1,599.44x = 3,373.94 × 3,373.94
  4. Step 4: Simplify right side
    1,599.44x = 11,383,454.25
  5. Step 5: Solve for x
    x = 11,383,454.25/1,599.44
  6. Step 6: Final answer
    x = 7,117.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.