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Finding the Third Proportional to 27,299 and 57,514

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Solution

The third proportional to 27,299 and 57,514 is: 121,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,299 : 57,514 = 57,514 : x
  2. Step 2: Convert to fraction form
    27,299/57,514 = 57,514/x
  3. Step 3: Cross multiply
    27,299x = 57,514 × 57,514
  4. Step 4: Simplify right side
    27,299x = 3,307,860,196
  5. Step 5: Solve for x
    x = 3,307,860,196/27,299
  6. Step 6: Final answer
    x = 121,171.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.