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Finding the Third Proportional to 11,603.88 and 17,431.45

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Solution

The third proportional to 11,603.88 and 17,431.45 is: 26,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.88 : 17,431.45 = 17,431.45 : x
  2. Step 2: Convert to fraction form
    11,603.88/17,431.45 = 17,431.45/x
  3. Step 3: Cross multiply
    11,603.88x = 17,431.45 × 17,431.45
  4. Step 4: Simplify right side
    11,603.88x = 303,855,558.05
  5. Step 5: Solve for x
    x = 303,855,558.05/11,603.88
  6. Step 6: Final answer
    x = 26,185.68

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