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Finding the Third Proportional to 39,873 and 61,916

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Solution

The third proportional to 39,873 and 61,916 is: 96,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,873 : 61,916 = 61,916 : x
  2. Step 2: Convert to fraction form
    39,873/61,916 = 61,916/x
  3. Step 3: Cross multiply
    39,873x = 61,916 × 61,916
  4. Step 4: Simplify right side
    39,873x = 3,833,591,056
  5. Step 5: Solve for x
    x = 3,833,591,056/39,873
  6. Step 6: Final answer
    x = 96,145.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.