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Finding the Third Proportional to 38,097 and 83,961

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Solution

The third proportional to 38,097 and 83,961 is: 185,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 83,961 = 83,961 : x
  2. Step 2: Convert to fraction form
    38,097/83,961 = 83,961/x
  3. Step 3: Cross multiply
    38,097x = 83,961 × 83,961
  4. Step 4: Simplify right side
    38,097x = 7,049,449,521
  5. Step 5: Solve for x
    x = 7,049,449,521/38,097
  6. Step 6: Final answer
    x = 185,039.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.