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Finding the Third Proportional to 36,969 and 54,136

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Solution

The third proportional to 36,969 and 54,136 is: 79,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,969 : 54,136 = 54,136 : x
  2. Step 2: Convert to fraction form
    36,969/54,136 = 54,136/x
  3. Step 3: Cross multiply
    36,969x = 54,136 × 54,136
  4. Step 4: Simplify right side
    36,969x = 2,930,706,496
  5. Step 5: Solve for x
    x = 2,930,706,496/36,969
  6. Step 6: Final answer
    x = 79,274.70

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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.