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Finding the Third Proportional to 37,573 and 54,826

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Solution

The third proportional to 37,573 and 54,826 is: 80,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,573 : 54,826 = 54,826 : x
  2. Step 2: Convert to fraction form
    37,573/54,826 = 54,826/x
  3. Step 3: Cross multiply
    37,573x = 54,826 × 54,826
  4. Step 4: Simplify right side
    37,573x = 3,005,890,276
  5. Step 5: Solve for x
    x = 3,005,890,276/37,573
  6. Step 6: Final answer
    x = 80,001.34

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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.