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Finding the Third Proportional to 38,005.75 and 81,546.38

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Solution

The third proportional to 38,005.75 and 81,546.38 is: 174,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.75 : 81,546.38 = 81,546.38 : x
  2. Step 2: Convert to fraction form
    38,005.75/81,546.38 = 81,546.38/x
  3. Step 3: Cross multiply
    38,005.75x = 81,546.38 × 81,546.38
  4. Step 4: Simplify right side
    38,005.75x = 6,649,811,275.64
  5. Step 5: Solve for x
    x = 6,649,811,275.64/38,005.75
  6. Step 6: Final answer
    x = 174,968.56

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Why These Related Problems?

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