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Finding the Third Proportional to 25,162 and 39,809

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Solution

The third proportional to 25,162 and 39,809 is: 62,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162 : 39,809 = 39,809 : x
  2. Step 2: Convert to fraction form
    25,162/39,809 = 39,809/x
  3. Step 3: Cross multiply
    25,162x = 39,809 × 39,809
  4. Step 4: Simplify right side
    25,162x = 1,584,756,481
  5. Step 5: Solve for x
    x = 1,584,756,481/25,162
  6. Step 6: Final answer
    x = 62,982.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.