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Finding the Third Proportional to 35,652 and 55,450

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Solution

The third proportional to 35,652 and 55,450 is: 86,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,652 : 55,450 = 55,450 : x
  2. Step 2: Convert to fraction form
    35,652/55,450 = 55,450/x
  3. Step 3: Cross multiply
    35,652x = 55,450 × 55,450
  4. Step 4: Simplify right side
    35,652x = 3,074,702,500
  5. Step 5: Solve for x
    x = 3,074,702,500/35,652
  6. Step 6: Final answer
    x = 86,242.08

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.