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Finding the Third Proportional to 35,954 and 54,433

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Solution

The third proportional to 35,954 and 54,433 is: 82,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,954 : 54,433 = 54,433 : x
  2. Step 2: Convert to fraction form
    35,954/54,433 = 54,433/x
  3. Step 3: Cross multiply
    35,954x = 54,433 × 54,433
  4. Step 4: Simplify right side
    35,954x = 2,962,951,489
  5. Step 5: Solve for x
    x = 2,962,951,489/35,954
  6. Step 6: Final answer
    x = 82,409.51

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Why These Related Problems?

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