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Finding the Third Proportional to 39,804 and 85,824

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Solution

The third proportional to 39,804 and 85,824 is: 185,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,804 : 85,824 = 85,824 : x
  2. Step 2: Convert to fraction form
    39,804/85,824 = 85,824/x
  3. Step 3: Cross multiply
    39,804x = 85,824 × 85,824
  4. Step 4: Simplify right side
    39,804x = 7,365,758,976
  5. Step 5: Solve for x
    x = 7,365,758,976/39,804
  6. Step 6: Final answer
    x = 185,050.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.