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Finding the Third Proportional to 36,984 and 54,174

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Solution

The third proportional to 36,984 and 54,174 is: 79,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,984 : 54,174 = 54,174 : x
  2. Step 2: Convert to fraction form
    36,984/54,174 = 54,174/x
  3. Step 3: Cross multiply
    36,984x = 54,174 × 54,174
  4. Step 4: Simplify right side
    36,984x = 2,934,822,276
  5. Step 5: Solve for x
    x = 2,934,822,276/36,984
  6. Step 6: Final answer
    x = 79,353.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.