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Finding the Third Proportional to 3,177 and 3,670.88

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Solution

The third proportional to 3,177 and 3,670.88 is: 4,241.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 3,670.88 = 3,670.88 : x
  2. Step 2: Convert to fraction form
    3,177/3,670.88 = 3,670.88/x
  3. Step 3: Cross multiply
    3,177x = 3,670.88 × 3,670.88
  4. Step 4: Simplify right side
    3,177x = 13,475,323.27
  5. Step 5: Solve for x
    x = 13,475,323.27/3,177
  6. Step 6: Final answer
    x = 4,241.52

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.