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Finding the Third Proportional to 37,433 and 54,753

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Solution

The third proportional to 37,433 and 54,753 is: 80,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,433 : 54,753 = 54,753 : x
  2. Step 2: Convert to fraction form
    37,433/54,753 = 54,753/x
  3. Step 3: Cross multiply
    37,433x = 54,753 × 54,753
  4. Step 4: Simplify right side
    37,433x = 2,997,891,009
  5. Step 5: Solve for x
    x = 2,997,891,009/37,433
  6. Step 6: Final answer
    x = 80,086.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.