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Finding the Third Proportional to 25,189 and 35,311

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Solution

The third proportional to 25,189 and 35,311 is: 49,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189 : 35,311 = 35,311 : x
  2. Step 2: Convert to fraction form
    25,189/35,311 = 35,311/x
  3. Step 3: Cross multiply
    25,189x = 35,311 × 35,311
  4. Step 4: Simplify right side
    25,189x = 1,246,866,721
  5. Step 5: Solve for x
    x = 1,246,866,721/25,189
  6. Step 6: Final answer
    x = 49,500.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.