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Finding the Third Proportional to 36,040.50 and 82,955.25

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Solution

The third proportional to 36,040.50 and 82,955.25 is: 190,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,040.50 : 82,955.25 = 82,955.25 : x
  2. Step 2: Convert to fraction form
    36,040.50/82,955.25 = 82,955.25/x
  3. Step 3: Cross multiply
    36,040.50x = 82,955.25 × 82,955.25
  4. Step 4: Simplify right side
    36,040.50x = 6,881,573,502.56
  5. Step 5: Solve for x
    x = 6,881,573,502.56/36,040.50
  6. Step 6: Final answer
    x = 190,940.01

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.