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Finding the Third Proportional to 12,173.73 and 26,580.02

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Solution

The third proportional to 12,173.73 and 26,580.02 is: 58,034.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.73 : 26,580.02 = 26,580.02 : x
  2. Step 2: Convert to fraction form
    12,173.73/26,580.02 = 26,580.02/x
  3. Step 3: Cross multiply
    12,173.73x = 26,580.02 × 26,580.02
  4. Step 4: Simplify right side
    12,173.73x = 706,497,645.94
  5. Step 5: Solve for x
    x = 706,497,645.94/12,173.73
  6. Step 6: Final answer
    x = 58,034.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.