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Finding the Third Proportional to 43,638.75 and 104,965.88

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Solution

The third proportional to 43,638.75 and 104,965.88 is: 252,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638.75 : 104,965.88 = 104,965.88 : x
  2. Step 2: Convert to fraction form
    43,638.75/104,965.88 = 104,965.88/x
  3. Step 3: Cross multiply
    43,638.75x = 104,965.88 × 104,965.88
  4. Step 4: Simplify right side
    43,638.75x = 11,017,834,914.52
  5. Step 5: Solve for x
    x = 11,017,834,914.52/43,638.75
  6. Step 6: Final answer
    x = 252,478.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.