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Finding the Third Proportional to 27,136 and 38,188

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Solution

The third proportional to 27,136 and 38,188 is: 53,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,136 : 38,188 = 38,188 : x
  2. Step 2: Convert to fraction form
    27,136/38,188 = 38,188/x
  3. Step 3: Cross multiply
    27,136x = 38,188 × 38,188
  4. Step 4: Simplify right side
    27,136x = 1,458,323,344
  5. Step 5: Solve for x
    x = 1,458,323,344/27,136
  6. Step 6: Final answer
    x = 53,741.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.