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Finding the Third Proportional to 25,999 and 40,331

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Solution

The third proportional to 25,999 and 40,331 is: 62,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,999 : 40,331 = 40,331 : x
  2. Step 2: Convert to fraction form
    25,999/40,331 = 40,331/x
  3. Step 3: Cross multiply
    25,999x = 40,331 × 40,331
  4. Step 4: Simplify right side
    25,999x = 1,626,589,561
  5. Step 5: Solve for x
    x = 1,626,589,561/25,999
  6. Step 6: Final answer
    x = 62,563.54

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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.