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Finding the Third Proportional to 37,284 and 55,956

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Solution

The third proportional to 37,284 and 55,956 is: 83,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,284 : 55,956 = 55,956 : x
  2. Step 2: Convert to fraction form
    37,284/55,956 = 55,956/x
  3. Step 3: Cross multiply
    37,284x = 55,956 × 55,956
  4. Step 4: Simplify right side
    37,284x = 3,131,073,936
  5. Step 5: Solve for x
    x = 3,131,073,936/37,284
  6. Step 6: Final answer
    x = 83,979.02

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