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Finding the Third Proportional to 9,519.75 and 14,279.63

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Solution

The third proportional to 9,519.75 and 14,279.63 is: 21,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.75 : 14,279.63 = 14,279.63 : x
  2. Step 2: Convert to fraction form
    9,519.75/14,279.63 = 14,279.63/x
  3. Step 3: Cross multiply
    9,519.75x = 14,279.63 × 14,279.63
  4. Step 4: Simplify right side
    9,519.75x = 203,907,690.14
  5. Step 5: Solve for x
    x = 203,907,690.14/9,519.75
  6. Step 6: Final answer
    x = 21,419.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.