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Finding the Third Proportional to 6,194 and 13,250

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Solution

The third proportional to 6,194 and 13,250 is: 28,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 13,250 = 13,250 : x
  2. Step 2: Convert to fraction form
    6,194/13,250 = 13,250/x
  3. Step 3: Cross multiply
    6,194x = 13,250 × 13,250
  4. Step 4: Simplify right side
    6,194x = 175,562,500
  5. Step 5: Solve for x
    x = 175,562,500/6,194
  6. Step 6: Final answer
    x = 28,343.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.