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Finding the Third Proportional to 10,530 and 14,825

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Solution

The third proportional to 10,530 and 14,825 is: 20,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530 : 14,825 = 14,825 : x
  2. Step 2: Convert to fraction form
    10,530/14,825 = 14,825/x
  3. Step 3: Cross multiply
    10,530x = 14,825 × 14,825
  4. Step 4: Simplify right side
    10,530x = 219,780,625
  5. Step 5: Solve for x
    x = 219,780,625/10,530
  6. Step 6: Final answer
    x = 20,871.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.