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Finding the Third Proportional to 38,180.25 and 54,992.25

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Solution

The third proportional to 38,180.25 and 54,992.25 is: 79,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,180.25 : 54,992.25 = 54,992.25 : x
  2. Step 2: Convert to fraction form
    38,180.25/54,992.25 = 54,992.25/x
  3. Step 3: Cross multiply
    38,180.25x = 54,992.25 × 54,992.25
  4. Step 4: Simplify right side
    38,180.25x = 3,024,147,560.06
  5. Step 5: Solve for x
    x = 3,024,147,560.06/38,180.25
  6. Step 6: Final answer
    x = 79,207.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.