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Finding the Third Proportional to 54,380 and 76,576

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Solution

The third proportional to 54,380 and 76,576 is: 107,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,380 : 76,576 = 76,576 : x
  2. Step 2: Convert to fraction form
    54,380/76,576 = 76,576/x
  3. Step 3: Cross multiply
    54,380x = 76,576 × 76,576
  4. Step 4: Simplify right side
    54,380x = 5,863,883,776
  5. Step 5: Solve for x
    x = 5,863,883,776/54,380
  6. Step 6: Final answer
    x = 107,831.63

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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.