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Finding the Third Proportional to 27,866 and 61,258

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Solution

The third proportional to 27,866 and 61,258 is: 134,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866 : 61,258 = 61,258 : x
  2. Step 2: Convert to fraction form
    27,866/61,258 = 61,258/x
  3. Step 3: Cross multiply
    27,866x = 61,258 × 61,258
  4. Step 4: Simplify right side
    27,866x = 3,752,542,564
  5. Step 5: Solve for x
    x = 3,752,542,564/27,866
  6. Step 6: Final answer
    x = 134,663.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.