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Finding the Third Proportional to 11,552.25 and 18,603.38

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Solution

The third proportional to 11,552.25 and 18,603.38 is: 29,958.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.25 : 18,603.38 = 18,603.38 : x
  2. Step 2: Convert to fraction form
    11,552.25/18,603.38 = 18,603.38/x
  3. Step 3: Cross multiply
    11,552.25x = 18,603.38 × 18,603.38
  4. Step 4: Simplify right side
    11,552.25x = 346,085,561.39
  5. Step 5: Solve for x
    x = 346,085,561.39/11,552.25
  6. Step 6: Final answer
    x = 29,958.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.