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Finding the Third Proportional to 38,056.31 and 81,723.84

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Solution

The third proportional to 38,056.31 and 81,723.84 is: 175,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,056.31 : 81,723.84 = 81,723.84 : x
  2. Step 2: Convert to fraction form
    38,056.31/81,723.84 = 81,723.84/x
  3. Step 3: Cross multiply
    38,056.31x = 81,723.84 × 81,723.84
  4. Step 4: Simplify right side
    38,056.31x = 6,678,786,637.27
  5. Step 5: Solve for x
    x = 6,678,786,637.27/38,056.31
  6. Step 6: Final answer
    x = 175,497.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.