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Finding the Third Proportional to 25,774 and 39,825

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Solution

The third proportional to 25,774 and 39,825 is: 61,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,774 : 39,825 = 39,825 : x
  2. Step 2: Convert to fraction form
    25,774/39,825 = 39,825/x
  3. Step 3: Cross multiply
    25,774x = 39,825 × 39,825
  4. Step 4: Simplify right side
    25,774x = 1,586,030,625
  5. Step 5: Solve for x
    x = 1,586,030,625/25,774
  6. Step 6: Final answer
    x = 61,536.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.