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Finding the Third Proportional to 25,585 and 35,825

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Solution

The third proportional to 25,585 and 35,825 is: 50,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,585 : 35,825 = 35,825 : x
  2. Step 2: Convert to fraction form
    25,585/35,825 = 35,825/x
  3. Step 3: Cross multiply
    25,585x = 35,825 × 35,825
  4. Step 4: Simplify right side
    25,585x = 1,283,430,625
  5. Step 5: Solve for x
    x = 1,283,430,625/25,585
  6. Step 6: Final answer
    x = 50,163.40

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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.