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Finding the Third Proportional to 25,986 and 39,213

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Solution

The third proportional to 25,986 and 39,213 is: 59,172.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986 : 39,213 = 39,213 : x
  2. Step 2: Convert to fraction form
    25,986/39,213 = 39,213/x
  3. Step 3: Cross multiply
    25,986x = 39,213 × 39,213
  4. Step 4: Simplify right side
    25,986x = 1,537,659,369
  5. Step 5: Solve for x
    x = 1,537,659,369/25,986
  6. Step 6: Final answer
    x = 59,172.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.