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Finding the Third Proportional to 49,597.31 and 74,092.22

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Solution

The third proportional to 49,597.31 and 74,092.22 is: 110,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,597.31 : 74,092.22 = 74,092.22 : x
  2. Step 2: Convert to fraction form
    49,597.31/74,092.22 = 74,092.22/x
  3. Step 3: Cross multiply
    49,597.31x = 74,092.22 × 74,092.22
  4. Step 4: Simplify right side
    49,597.31x = 5,489,656,879.30
  5. Step 5: Solve for x
    x = 5,489,656,879.30/49,597.31
  6. Step 6: Final answer
    x = 110,684.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.