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Finding the Third Proportional to 1,739.06 and 3,621.94

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Solution

The third proportional to 1,739.06 and 3,621.94 is: 7,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.06 : 3,621.94 = 3,621.94 : x
  2. Step 2: Convert to fraction form
    1,739.06/3,621.94 = 3,621.94/x
  3. Step 3: Cross multiply
    1,739.06x = 3,621.94 × 3,621.94
  4. Step 4: Simplify right side
    1,739.06x = 13,118,431.25
  5. Step 5: Solve for x
    x = 13,118,431.25/1,739.06
  6. Step 6: Final answer
    x = 7,543.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.