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Finding the Third Proportional to 10,453 and 15,923

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Solution

The third proportional to 10,453 and 15,923 is: 24,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453 : 15,923 = 15,923 : x
  2. Step 2: Convert to fraction form
    10,453/15,923 = 15,923/x
  3. Step 3: Cross multiply
    10,453x = 15,923 × 15,923
  4. Step 4: Simplify right side
    10,453x = 253,541,929
  5. Step 5: Solve for x
    x = 253,541,929/10,453
  6. Step 6: Final answer
    x = 24,255.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.