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Finding the Third Proportional to 40,725 and 85,824

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Solution

The third proportional to 40,725 and 85,824 is: 180,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,725 : 85,824 = 85,824 : x
  2. Step 2: Convert to fraction form
    40,725/85,824 = 85,824/x
  3. Step 3: Cross multiply
    40,725x = 85,824 × 85,824
  4. Step 4: Simplify right side
    40,725x = 7,365,758,976
  5. Step 5: Solve for x
    x = 7,365,758,976/40,725
  6. Step 6: Final answer
    x = 180,865.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.