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Finding the Third Proportional to 38,230.31 and 81,102.94

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Solution

The third proportional to 38,230.31 and 81,102.94 is: 172,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,230.31 : 81,102.94 = 81,102.94 : x
  2. Step 2: Convert to fraction form
    38,230.31/81,102.94 = 81,102.94/x
  3. Step 3: Cross multiply
    38,230.31x = 81,102.94 × 81,102.94
  4. Step 4: Simplify right side
    38,230.31x = 6,577,686,471.13
  5. Step 5: Solve for x
    x = 6,577,686,471.13/38,230.31
  6. Step 6: Final answer
    x = 172,054.22

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.