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Finding the Third Proportional to 35,996 and 54,234

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Solution

The third proportional to 35,996 and 54,234 is: 81,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,996 : 54,234 = 54,234 : x
  2. Step 2: Convert to fraction form
    35,996/54,234 = 54,234/x
  3. Step 3: Cross multiply
    35,996x = 54,234 × 54,234
  4. Step 4: Simplify right side
    35,996x = 2,941,326,756
  5. Step 5: Solve for x
    x = 2,941,326,756/35,996
  6. Step 6: Final answer
    x = 81,712.60

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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.