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Finding the Third Proportional to 12,175.88 and 18,214.69

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Solution

The third proportional to 12,175.88 and 18,214.69 is: 27,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.88 : 18,214.69 = 18,214.69 : x
  2. Step 2: Convert to fraction form
    12,175.88/18,214.69 = 18,214.69/x
  3. Step 3: Cross multiply
    12,175.88x = 18,214.69 × 18,214.69
  4. Step 4: Simplify right side
    12,175.88x = 331,774,840.72
  5. Step 5: Solve for x
    x = 331,774,840.72/12,175.88
  6. Step 6: Final answer
    x = 27,248.54

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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.