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Finding the Third Proportional to 13,819.50 and 33,210

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Solution

The third proportional to 13,819.50 and 33,210 is: 79,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.50 : 33,210 = 33,210 : x
  2. Step 2: Convert to fraction form
    13,819.50/33,210 = 33,210/x
  3. Step 3: Cross multiply
    13,819.50x = 33,210 × 33,210
  4. Step 4: Simplify right side
    13,819.50x = 1,102,904,100
  5. Step 5: Solve for x
    x = 1,102,904,100/13,819.50
  6. Step 6: Final answer
    x = 79,807.82

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.