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Finding the Third Proportional to 17,769.56 and 37,999.50

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Solution

The third proportional to 17,769.56 and 37,999.50 is: 81,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769.56 : 37,999.50 = 37,999.50 : x
  2. Step 2: Convert to fraction form
    17,769.56/37,999.50 = 37,999.50/x
  3. Step 3: Cross multiply
    17,769.56x = 37,999.50 × 37,999.50
  4. Step 4: Simplify right side
    17,769.56x = 1,443,962,000.25
  5. Step 5: Solve for x
    x = 1,443,962,000.25/17,769.56
  6. Step 6: Final answer
    x = 81,260.41

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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.