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Finding the Third Proportional to 6,177 and 13,323.50

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Solution

The third proportional to 6,177 and 13,323.50 is: 28,738.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177 : 13,323.50 = 13,323.50 : x
  2. Step 2: Convert to fraction form
    6,177/13,323.50 = 13,323.50/x
  3. Step 3: Cross multiply
    6,177x = 13,323.50 × 13,323.50
  4. Step 4: Simplify right side
    6,177x = 177,515,652.25
  5. Step 5: Solve for x
    x = 177,515,652.25/6,177
  6. Step 6: Final answer
    x = 28,738.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.