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Finding the Third Proportional to 36,580 and 54,096

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Solution

The third proportional to 36,580 and 54,096 is: 79,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 54,096 = 54,096 : x
  2. Step 2: Convert to fraction form
    36,580/54,096 = 54,096/x
  3. Step 3: Cross multiply
    36,580x = 54,096 × 54,096
  4. Step 4: Simplify right side
    36,580x = 2,926,377,216
  5. Step 5: Solve for x
    x = 2,926,377,216/36,580
  6. Step 6: Final answer
    x = 79,999.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.