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Finding the Third Proportional to 12,682.41 and 18,026.72

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Solution

The third proportional to 12,682.41 and 18,026.72 is: 25,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.41 : 18,026.72 = 18,026.72 : x
  2. Step 2: Convert to fraction form
    12,682.41/18,026.72 = 18,026.72/x
  3. Step 3: Cross multiply
    12,682.41x = 18,026.72 × 18,026.72
  4. Step 4: Simplify right side
    12,682.41x = 324,962,588.89
  5. Step 5: Solve for x
    x = 324,962,588.89/12,682.41
  6. Step 6: Final answer
    x = 25,623.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.