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Finding the Third Proportional to 751.22 and 1,613.39

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Solution

The third proportional to 751.22 and 1,613.39 is: 3,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.22 : 1,613.39 = 1,613.39 : x
  2. Step 2: Convert to fraction form
    751.22/1,613.39 = 1,613.39/x
  3. Step 3: Cross multiply
    751.22x = 1,613.39 × 1,613.39
  4. Step 4: Simplify right side
    751.22x = 2,603,029.31
  5. Step 5: Solve for x
    x = 2,603,029.31/751.22
  6. Step 6: Final answer
    x = 3,465.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.