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Finding the Third Proportional to 12,175.13 and 18,262.88

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Solution

The third proportional to 12,175.13 and 18,262.88 is: 27,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.13 : 18,262.88 = 18,262.88 : x
  2. Step 2: Convert to fraction form
    12,175.13/18,262.88 = 18,262.88/x
  3. Step 3: Cross multiply
    12,175.13x = 18,262.88 × 18,262.88
  4. Step 4: Simplify right side
    12,175.13x = 333,532,603.27
  5. Step 5: Solve for x
    x = 333,532,603.27/12,175.13
  6. Step 6: Final answer
    x = 27,394.59

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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.