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Finding the Third Proportional to 25,498 and 35,843

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Solution

The third proportional to 25,498 and 35,843 is: 50,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,498 : 35,843 = 35,843 : x
  2. Step 2: Convert to fraction form
    25,498/35,843 = 35,843/x
  3. Step 3: Cross multiply
    25,498x = 35,843 × 35,843
  4. Step 4: Simplify right side
    25,498x = 1,284,720,649
  5. Step 5: Solve for x
    x = 1,284,720,649/25,498
  6. Step 6: Final answer
    x = 50,385.15

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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.