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Finding the Third Proportional to 40,377 and 57,797

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Solution

The third proportional to 40,377 and 57,797 is: 82,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,377 : 57,797 = 57,797 : x
  2. Step 2: Convert to fraction form
    40,377/57,797 = 57,797/x
  3. Step 3: Cross multiply
    40,377x = 57,797 × 57,797
  4. Step 4: Simplify right side
    40,377x = 3,340,493,209
  5. Step 5: Solve for x
    x = 3,340,493,209/40,377
  6. Step 6: Final answer
    x = 82,732.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.