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Finding the Third Proportional to 43,734.38 and 69,623.44

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Solution

The third proportional to 43,734.38 and 69,623.44 is: 110,837.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,734.38 : 69,623.44 = 69,623.44 : x
  2. Step 2: Convert to fraction form
    43,734.38/69,623.44 = 69,623.44/x
  3. Step 3: Cross multiply
    43,734.38x = 69,623.44 × 69,623.44
  4. Step 4: Simplify right side
    43,734.38x = 4,847,423,049.32
  5. Step 5: Solve for x
    x = 4,847,423,049.32/43,734.38
  6. Step 6: Final answer
    x = 110,837.83

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Why These Related Problems?

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