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Finding the Third Proportional to 25,049 and 50,789

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Solution

The third proportional to 25,049 and 50,789 is: 102,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049 : 50,789 = 50,789 : x
  2. Step 2: Convert to fraction form
    25,049/50,789 = 50,789/x
  3. Step 3: Cross multiply
    25,049x = 50,789 × 50,789
  4. Step 4: Simplify right side
    25,049x = 2,579,522,521
  5. Step 5: Solve for x
    x = 2,579,522,521/25,049
  6. Step 6: Final answer
    x = 102,979.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.