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Finding the Third Proportional to 36,852 and 55,458

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Solution

The third proportional to 36,852 and 55,458 is: 83,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,852 : 55,458 = 55,458 : x
  2. Step 2: Convert to fraction form
    36,852/55,458 = 55,458/x
  3. Step 3: Cross multiply
    36,852x = 55,458 × 55,458
  4. Step 4: Simplify right side
    36,852x = 3,075,589,764
  5. Step 5: Solve for x
    x = 3,075,589,764/36,852
  6. Step 6: Final answer
    x = 83,457.88

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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.