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Finding the Third Proportional to 41,573.25 and 85,596.75

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Solution

The third proportional to 41,573.25 and 85,596.75 is: 176,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,573.25 : 85,596.75 = 85,596.75 : x
  2. Step 2: Convert to fraction form
    41,573.25/85,596.75 = 85,596.75/x
  3. Step 3: Cross multiply
    41,573.25x = 85,596.75 × 85,596.75
  4. Step 4: Simplify right side
    41,573.25x = 7,326,803,610.56
  5. Step 5: Solve for x
    x = 7,326,803,610.56/41,573.25
  6. Step 6: Final answer
    x = 176,238.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.