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Finding the Third Proportional to 27,116 and 38,136

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Solution

The third proportional to 27,116 and 38,136 is: 53,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,116 : 38,136 = 38,136 : x
  2. Step 2: Convert to fraction form
    27,116/38,136 = 38,136/x
  3. Step 3: Cross multiply
    27,116x = 38,136 × 38,136
  4. Step 4: Simplify right side
    27,116x = 1,454,354,496
  5. Step 5: Solve for x
    x = 1,454,354,496/27,116
  6. Step 6: Final answer
    x = 53,634.55

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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.