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Finding the Third Proportional to 40,013.75 and 85,958

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Solution

The third proportional to 40,013.75 and 85,958 is: 184,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,013.75 : 85,958 = 85,958 : x
  2. Step 2: Convert to fraction form
    40,013.75/85,958 = 85,958/x
  3. Step 3: Cross multiply
    40,013.75x = 85,958 × 85,958
  4. Step 4: Simplify right side
    40,013.75x = 7,388,777,764
  5. Step 5: Solve for x
    x = 7,388,777,764/40,013.75
  6. Step 6: Final answer
    x = 184,655.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.