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Finding the Third Proportional to 36,214 and 54,097

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Solution

The third proportional to 36,214 and 54,097 is: 80,810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,214 : 54,097 = 54,097 : x
  2. Step 2: Convert to fraction form
    36,214/54,097 = 54,097/x
  3. Step 3: Cross multiply
    36,214x = 54,097 × 54,097
  4. Step 4: Simplify right side
    36,214x = 2,926,485,409
  5. Step 5: Solve for x
    x = 2,926,485,409/36,214
  6. Step 6: Final answer
    x = 80,810.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.