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Finding the Third Proportional to 14,896 and 20,519

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Solution

The third proportional to 14,896 and 20,519 is: 28,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896 : 20,519 = 20,519 : x
  2. Step 2: Convert to fraction form
    14,896/20,519 = 20,519/x
  3. Step 3: Cross multiply
    14,896x = 20,519 × 20,519
  4. Step 4: Simplify right side
    14,896x = 421,029,361
  5. Step 5: Solve for x
    x = 421,029,361/14,896
  6. Step 6: Final answer
    x = 28,264.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.