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Finding the Third Proportional to 12,576.66 and 26,186.06

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Solution

The third proportional to 12,576.66 and 26,186.06 is: 54,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.66 : 26,186.06 = 26,186.06 : x
  2. Step 2: Convert to fraction form
    12,576.66/26,186.06 = 26,186.06/x
  3. Step 3: Cross multiply
    12,576.66x = 26,186.06 × 26,186.06
  4. Step 4: Simplify right side
    12,576.66x = 685,709,869.25
  5. Step 5: Solve for x
    x = 685,709,869.25/12,576.66
  6. Step 6: Final answer
    x = 54,522.43

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.