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Finding the Third Proportional to 6,171 and 13,705.50

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Solution

The third proportional to 6,171 and 13,705.50 is: 30,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171 : 13,705.50 = 13,705.50 : x
  2. Step 2: Convert to fraction form
    6,171/13,705.50 = 13,705.50/x
  3. Step 3: Cross multiply
    6,171x = 13,705.50 × 13,705.50
  4. Step 4: Simplify right side
    6,171x = 187,840,730.25
  5. Step 5: Solve for x
    x = 187,840,730.25/6,171
  6. Step 6: Final answer
    x = 30,439.27

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.