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Finding the Third Proportional to 27,951 and 60,258

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Solution

The third proportional to 27,951 and 60,258 is: 129,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951 : 60,258 = 60,258 : x
  2. Step 2: Convert to fraction form
    27,951/60,258 = 60,258/x
  3. Step 3: Cross multiply
    27,951x = 60,258 × 60,258
  4. Step 4: Simplify right side
    27,951x = 3,631,026,564
  5. Step 5: Solve for x
    x = 3,631,026,564/27,951
  6. Step 6: Final answer
    x = 129,906.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.