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Finding the Third Proportional to 36,956 and 55,820

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Solution

The third proportional to 36,956 and 55,820 is: 84,313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956 : 55,820 = 55,820 : x
  2. Step 2: Convert to fraction form
    36,956/55,820 = 55,820/x
  3. Step 3: Cross multiply
    36,956x = 55,820 × 55,820
  4. Step 4: Simplify right side
    36,956x = 3,115,872,400
  5. Step 5: Solve for x
    x = 3,115,872,400/36,956
  6. Step 6: Final answer
    x = 84,313.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.