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Finding the Third Proportional to 27,992 and 42,258

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Solution

The third proportional to 27,992 and 42,258 is: 63,794.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 42,258 = 42,258 : x
  2. Step 2: Convert to fraction form
    27,992/42,258 = 42,258/x
  3. Step 3: Cross multiply
    27,992x = 42,258 × 42,258
  4. Step 4: Simplify right side
    27,992x = 1,785,738,564
  5. Step 5: Solve for x
    x = 1,785,738,564/27,992
  6. Step 6: Final answer
    x = 63,794.60

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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.