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Finding the Third Proportional to 38,957.25 and 84,142.88

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Solution

The third proportional to 38,957.25 and 84,142.88 is: 181,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,957.25 : 84,142.88 = 84,142.88 : x
  2. Step 2: Convert to fraction form
    38,957.25/84,142.88 = 84,142.88/x
  3. Step 3: Cross multiply
    38,957.25x = 84,142.88 × 84,142.88
  4. Step 4: Simplify right side
    38,957.25x = 7,080,023,413.27
  5. Step 5: Solve for x
    x = 7,080,023,413.27/38,957.25
  6. Step 6: Final answer
    x = 181,738.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.