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Finding the Third Proportional to 25,299 and 35,802

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Solution

The third proportional to 25,299 and 35,802 is: 50,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299 : 35,802 = 35,802 : x
  2. Step 2: Convert to fraction form
    25,299/35,802 = 35,802/x
  3. Step 3: Cross multiply
    25,299x = 35,802 × 35,802
  4. Step 4: Simplify right side
    25,299x = 1,281,783,204
  5. Step 5: Solve for x
    x = 1,281,783,204/25,299
  6. Step 6: Final answer
    x = 50,665.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.