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Finding the Third Proportional to 12,728.63 and 27,966.75

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Solution

The third proportional to 12,728.63 and 27,966.75 is: 61,447.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.63 : 27,966.75 = 27,966.75 : x
  2. Step 2: Convert to fraction form
    12,728.63/27,966.75 = 27,966.75/x
  3. Step 3: Cross multiply
    12,728.63x = 27,966.75 × 27,966.75
  4. Step 4: Simplify right side
    12,728.63x = 782,139,105.56
  5. Step 5: Solve for x
    x = 782,139,105.56/12,728.63
  6. Step 6: Final answer
    x = 61,447.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.