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Finding the Third Proportional to 14,456 and 27,184

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Solution

The third proportional to 14,456 and 27,184 is: 51,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456 : 27,184 = 27,184 : x
  2. Step 2: Convert to fraction form
    14,456/27,184 = 27,184/x
  3. Step 3: Cross multiply
    14,456x = 27,184 × 27,184
  4. Step 4: Simplify right side
    14,456x = 738,969,856
  5. Step 5: Solve for x
    x = 738,969,856/14,456
  6. Step 6: Final answer
    x = 51,118.56

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.