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Finding the Third Proportional to 38,182 and 57,345

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Solution

The third proportional to 38,182 and 57,345 is: 86,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,182 : 57,345 = 57,345 : x
  2. Step 2: Convert to fraction form
    38,182/57,345 = 57,345/x
  3. Step 3: Cross multiply
    38,182x = 57,345 × 57,345
  4. Step 4: Simplify right side
    38,182x = 3,288,449,025
  5. Step 5: Solve for x
    x = 3,288,449,025/38,182
  6. Step 6: Final answer
    x = 86,125.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.