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Finding the Third Proportional to 13,935 and 33,703.50

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Solution

The third proportional to 13,935 and 33,703.50 is: 81,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,935 : 33,703.50 = 33,703.50 : x
  2. Step 2: Convert to fraction form
    13,935/33,703.50 = 33,703.50/x
  3. Step 3: Cross multiply
    13,935x = 33,703.50 × 33,703.50
  4. Step 4: Simplify right side
    13,935x = 1,135,925,912.25
  5. Step 5: Solve for x
    x = 1,135,925,912.25/13,935
  6. Step 6: Final answer
    x = 81,516.03

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.