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Finding the Third Proportional to 40,013 and 85,837

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Solution

The third proportional to 40,013 and 85,837 is: 184,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,013 : 85,837 = 85,837 : x
  2. Step 2: Convert to fraction form
    40,013/85,837 = 85,837/x
  3. Step 3: Cross multiply
    40,013x = 85,837 × 85,837
  4. Step 4: Simplify right side
    40,013x = 7,367,990,569
  5. Step 5: Solve for x
    x = 7,367,990,569/40,013
  6. Step 6: Final answer
    x = 184,139.92

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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.