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Finding the Third Proportional to 36,926.50 and 89,027

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Solution

The third proportional to 36,926.50 and 89,027 is: 214,637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926.50 : 89,027 = 89,027 : x
  2. Step 2: Convert to fraction form
    36,926.50/89,027 = 89,027/x
  3. Step 3: Cross multiply
    36,926.50x = 89,027 × 89,027
  4. Step 4: Simplify right side
    36,926.50x = 7,925,806,729
  5. Step 5: Solve for x
    x = 7,925,806,729/36,926.50
  6. Step 6: Final answer
    x = 214,637.37

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.