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Finding the Third Proportional to 43,791.75 and 66,973.50

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Solution

The third proportional to 43,791.75 and 66,973.50 is: 102,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,791.75 : 66,973.50 = 66,973.50 : x
  2. Step 2: Convert to fraction form
    43,791.75/66,973.50 = 66,973.50/x
  3. Step 3: Cross multiply
    43,791.75x = 66,973.50 × 66,973.50
  4. Step 4: Simplify right side
    43,791.75x = 4,485,449,702.25
  5. Step 5: Solve for x
    x = 4,485,449,702.25/43,791.75
  6. Step 6: Final answer
    x = 102,426.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.