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Finding the Third Proportional to 7,522.03 and 11,699.44

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Solution

The third proportional to 7,522.03 and 11,699.44 is: 18,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.03 : 11,699.44 = 11,699.44 : x
  2. Step 2: Convert to fraction form
    7,522.03/11,699.44 = 11,699.44/x
  3. Step 3: Cross multiply
    7,522.03x = 11,699.44 × 11,699.44
  4. Step 4: Simplify right side
    7,522.03x = 136,876,837.82
  5. Step 5: Solve for x
    x = 136,876,837.82/7,522.03
  6. Step 6: Final answer
    x = 18,196.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.