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Finding the Third Proportional to 38,876 and 61,117

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Solution

The third proportional to 38,876 and 61,117 is: 96,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,876 : 61,117 = 61,117 : x
  2. Step 2: Convert to fraction form
    38,876/61,117 = 61,117/x
  3. Step 3: Cross multiply
    38,876x = 61,117 × 61,117
  4. Step 4: Simplify right side
    38,876x = 3,735,287,689
  5. Step 5: Solve for x
    x = 3,735,287,689/38,876
  6. Step 6: Final answer
    x = 96,082.10

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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.