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Finding the Third Proportional to 11,519.72 and 15,638.91

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Solution

The third proportional to 11,519.72 and 15,638.91 is: 21,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.72 : 15,638.91 = 15,638.91 : x
  2. Step 2: Convert to fraction form
    11,519.72/15,638.91 = 15,638.91/x
  3. Step 3: Cross multiply
    11,519.72x = 15,638.91 × 15,638.91
  4. Step 4: Simplify right side
    11,519.72x = 244,575,388.70
  5. Step 5: Solve for x
    x = 244,575,388.70/11,519.72
  6. Step 6: Final answer
    x = 21,231.02

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