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Finding the Third Proportional to 39,825 and 55,836

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Solution

The third proportional to 39,825 and 55,836 is: 78,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,825 : 55,836 = 55,836 : x
  2. Step 2: Convert to fraction form
    39,825/55,836 = 55,836/x
  3. Step 3: Cross multiply
    39,825x = 55,836 × 55,836
  4. Step 4: Simplify right side
    39,825x = 3,117,658,896
  5. Step 5: Solve for x
    x = 3,117,658,896/39,825
  6. Step 6: Final answer
    x = 78,283.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.