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Finding the Third Proportional to 38,333 and 83,956

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Solution

The third proportional to 38,333 and 83,956 is: 183,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,333 : 83,956 = 83,956 : x
  2. Step 2: Convert to fraction form
    38,333/83,956 = 83,956/x
  3. Step 3: Cross multiply
    38,333x = 83,956 × 83,956
  4. Step 4: Simplify right side
    38,333x = 7,048,609,936
  5. Step 5: Solve for x
    x = 7,048,609,936/38,333
  6. Step 6: Final answer
    x = 183,878.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.