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Finding the Third Proportional to 11,227.36 and 17,598.52

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Solution

The third proportional to 11,227.36 and 17,598.52 is: 27,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.36 : 17,598.52 = 17,598.52 : x
  2. Step 2: Convert to fraction form
    11,227.36/17,598.52 = 17,598.52/x
  3. Step 3: Cross multiply
    11,227.36x = 17,598.52 × 17,598.52
  4. Step 4: Simplify right side
    11,227.36x = 309,707,752.20
  5. Step 5: Solve for x
    x = 309,707,752.20/11,227.36
  6. Step 6: Final answer
    x = 27,585.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.