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Finding the Third Proportional to 38,010.52 and 82,502.30

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Solution

The third proportional to 38,010.52 and 82,502.30 is: 179,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,010.52 : 82,502.30 = 82,502.30 : x
  2. Step 2: Convert to fraction form
    38,010.52/82,502.30 = 82,502.30/x
  3. Step 3: Cross multiply
    38,010.52x = 82,502.30 × 82,502.30
  4. Step 4: Simplify right side
    38,010.52x = 6,806,628,989.65
  5. Step 5: Solve for x
    x = 6,806,628,989.65/38,010.52
  6. Step 6: Final answer
    x = 179,072.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.