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Finding the Third Proportional to 15,907 and 22,825

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Solution

The third proportional to 15,907 and 22,825 is: 32,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907 : 22,825 = 22,825 : x
  2. Step 2: Convert to fraction form
    15,907/22,825 = 22,825/x
  3. Step 3: Cross multiply
    15,907x = 22,825 × 22,825
  4. Step 4: Simplify right side
    15,907x = 520,980,625
  5. Step 5: Solve for x
    x = 520,980,625/15,907
  6. Step 6: Final answer
    x = 32,751.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.