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Finding the Third Proportional to 10,448 and 14,176

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Solution

The third proportional to 10,448 and 14,176 is: 19,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448 : 14,176 = 14,176 : x
  2. Step 2: Convert to fraction form
    10,448/14,176 = 14,176/x
  3. Step 3: Cross multiply
    10,448x = 14,176 × 14,176
  4. Step 4: Simplify right side
    10,448x = 200,958,976
  5. Step 5: Solve for x
    x = 200,958,976/10,448
  6. Step 6: Final answer
    x = 19,234.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.