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Finding the Third Proportional to 25,851 and 39,916

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Solution

The third proportional to 25,851 and 39,916 is: 61,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851 : 39,916 = 39,916 : x
  2. Step 2: Convert to fraction form
    25,851/39,916 = 39,916/x
  3. Step 3: Cross multiply
    25,851x = 39,916 × 39,916
  4. Step 4: Simplify right side
    25,851x = 1,593,287,056
  5. Step 5: Solve for x
    x = 1,593,287,056/25,851
  6. Step 6: Final answer
    x = 61,633.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.