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Finding the Third Proportional to 25,826 and 39,907

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Solution

The third proportional to 25,826 and 39,907 is: 61,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826 : 39,907 = 39,907 : x
  2. Step 2: Convert to fraction form
    25,826/39,907 = 39,907/x
  3. Step 3: Cross multiply
    25,826x = 39,907 × 39,907
  4. Step 4: Simplify right side
    25,826x = 1,592,568,649
  5. Step 5: Solve for x
    x = 1,592,568,649/25,826
  6. Step 6: Final answer
    x = 61,665.32

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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.