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Finding the Third Proportional to 40,777 and 57,423

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Solution

The third proportional to 40,777 and 57,423 is: 80,864.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,777 : 57,423 = 57,423 : x
  2. Step 2: Convert to fraction form
    40,777/57,423 = 57,423/x
  3. Step 3: Cross multiply
    40,777x = 57,423 × 57,423
  4. Step 4: Simplify right side
    40,777x = 3,297,400,929
  5. Step 5: Solve for x
    x = 3,297,400,929/40,777
  6. Step 6: Final answer
    x = 80,864.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.