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Finding the Third Proportional to 43,513.88 and 69,238.69

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Solution

The third proportional to 43,513.88 and 69,238.69 is: 110,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,513.88 : 69,238.69 = 69,238.69 : x
  2. Step 2: Convert to fraction form
    43,513.88/69,238.69 = 69,238.69/x
  3. Step 3: Cross multiply
    43,513.88x = 69,238.69 × 69,238.69
  4. Step 4: Simplify right side
    43,513.88x = 4,793,995,846.72
  5. Step 5: Solve for x
    x = 4,793,995,846.72/43,513.88
  6. Step 6: Final answer
    x = 110,171.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.