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Finding the Third Proportional to 27,388 and 39,136

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Solution

The third proportional to 27,388 and 39,136 is: 55,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,388 : 39,136 = 39,136 : x
  2. Step 2: Convert to fraction form
    27,388/39,136 = 39,136/x
  3. Step 3: Cross multiply
    27,388x = 39,136 × 39,136
  4. Step 4: Simplify right side
    27,388x = 1,531,626,496
  5. Step 5: Solve for x
    x = 1,531,626,496/27,388
  6. Step 6: Final answer
    x = 55,923.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.