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Finding the Third Proportional to 27,307 and 41,211

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Solution

The third proportional to 27,307 and 41,211 is: 62,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307 : 41,211 = 41,211 : x
  2. Step 2: Convert to fraction form
    27,307/41,211 = 41,211/x
  3. Step 3: Cross multiply
    27,307x = 41,211 × 41,211
  4. Step 4: Simplify right side
    27,307x = 1,698,346,521
  5. Step 5: Solve for x
    x = 1,698,346,521/27,307
  6. Step 6: Final answer
    x = 62,194.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.