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Finding the Third Proportional to 12,072.56 and 26,154.94

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Solution

The third proportional to 12,072.56 and 26,154.94 is: 56,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072.56 : 26,154.94 = 26,154.94 : x
  2. Step 2: Convert to fraction form
    12,072.56/26,154.94 = 26,154.94/x
  3. Step 3: Cross multiply
    12,072.56x = 26,154.94 × 26,154.94
  4. Step 4: Simplify right side
    12,072.56x = 684,080,755.63
  5. Step 5: Solve for x
    x = 684,080,755.63/12,072.56
  6. Step 6: Final answer
    x = 56,664.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.