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Finding the Third Proportional to 3,777 and 4,173

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Solution

The third proportional to 3,777 and 4,173 is: 4,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 4,173 = 4,173 : x
  2. Step 2: Convert to fraction form
    3,777/4,173 = 4,173/x
  3. Step 3: Cross multiply
    3,777x = 4,173 × 4,173
  4. Step 4: Simplify right side
    3,777x = 17,413,929
  5. Step 5: Solve for x
    x = 17,413,929/3,777
  6. Step 6: Final answer
    x = 4,610.52

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.