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Finding the Third Proportional to 33,391.50 and 71,385

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Solution

The third proportional to 33,391.50 and 71,385 is: 152,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,391.50 : 71,385 = 71,385 : x
  2. Step 2: Convert to fraction form
    33,391.50/71,385 = 71,385/x
  3. Step 3: Cross multiply
    33,391.50x = 71,385 × 71,385
  4. Step 4: Simplify right side
    33,391.50x = 5,095,818,225
  5. Step 5: Solve for x
    x = 5,095,818,225/33,391.50
  6. Step 6: Final answer
    x = 152,608.25

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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.