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Finding the Third Proportional to 27,196 and 38,299

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Solution

The third proportional to 27,196 and 38,299 is: 53,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,196 : 38,299 = 38,299 : x
  2. Step 2: Convert to fraction form
    27,196/38,299 = 38,299/x
  3. Step 3: Cross multiply
    27,196x = 38,299 × 38,299
  4. Step 4: Simplify right side
    27,196x = 1,466,813,401
  5. Step 5: Solve for x
    x = 1,466,813,401/27,196
  6. Step 6: Final answer
    x = 53,934.89

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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.