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Finding the Third Proportional to 25,598 and 34,401

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Solution

The third proportional to 25,598 and 34,401 is: 46,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598 : 34,401 = 34,401 : x
  2. Step 2: Convert to fraction form
    25,598/34,401 = 34,401/x
  3. Step 3: Cross multiply
    25,598x = 34,401 × 34,401
  4. Step 4: Simplify right side
    25,598x = 1,183,428,801
  5. Step 5: Solve for x
    x = 1,183,428,801/25,598
  6. Step 6: Final answer
    x = 46,231.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.