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Finding the Third Proportional to 25,806 and 36,341

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Solution

The third proportional to 25,806 and 36,341 is: 51,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806 : 36,341 = 36,341 : x
  2. Step 2: Convert to fraction form
    25,806/36,341 = 36,341/x
  3. Step 3: Cross multiply
    25,806x = 36,341 × 36,341
  4. Step 4: Simplify right side
    25,806x = 1,320,668,281
  5. Step 5: Solve for x
    x = 1,320,668,281/25,806
  6. Step 6: Final answer
    x = 51,176.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.