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Finding the Third Proportional to 16,349 and 25,049

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Solution

The third proportional to 16,349 and 25,049 is: 38,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349 : 25,049 = 25,049 : x
  2. Step 2: Convert to fraction form
    16,349/25,049 = 25,049/x
  3. Step 3: Cross multiply
    16,349x = 25,049 × 25,049
  4. Step 4: Simplify right side
    16,349x = 627,452,401
  5. Step 5: Solve for x
    x = 627,452,401/16,349
  6. Step 6: Final answer
    x = 38,378.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.