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Finding the Third Proportional to 38,951 and 86,919.50

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Solution

The third proportional to 38,951 and 86,919.50 is: 193,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,951 : 86,919.50 = 86,919.50 : x
  2. Step 2: Convert to fraction form
    38,951/86,919.50 = 86,919.50/x
  3. Step 3: Cross multiply
    38,951x = 86,919.50 × 86,919.50
  4. Step 4: Simplify right side
    38,951x = 7,554,999,480.25
  5. Step 5: Solve for x
    x = 7,554,999,480.25/38,951
  6. Step 6: Final answer
    x = 193,961.63

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.