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Finding the Third Proportional to 38,876 and 61,118

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Solution

The third proportional to 38,876 and 61,118 is: 96,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,876 : 61,118 = 61,118 : x
  2. Step 2: Convert to fraction form
    38,876/61,118 = 61,118/x
  3. Step 3: Cross multiply
    38,876x = 61,118 × 61,118
  4. Step 4: Simplify right side
    38,876x = 3,735,409,924
  5. Step 5: Solve for x
    x = 3,735,409,924/38,876
  6. Step 6: Final answer
    x = 96,085.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.