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Finding the Third Proportional to 38,238.19 and 82,010.44

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Solution

The third proportional to 38,238.19 and 82,010.44 is: 175,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,238.19 : 82,010.44 = 82,010.44 : x
  2. Step 2: Convert to fraction form
    38,238.19/82,010.44 = 82,010.44/x
  3. Step 3: Cross multiply
    38,238.19x = 82,010.44 × 82,010.44
  4. Step 4: Simplify right side
    38,238.19x = 6,725,711,858.94
  5. Step 5: Solve for x
    x = 6,725,711,858.94/38,238.19
  6. Step 6: Final answer
    x = 175,889.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.