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Finding the Third Proportional to 12,648.38 and 27,716.63

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Solution

The third proportional to 12,648.38 and 27,716.63 is: 60,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.38 : 27,716.63 = 27,716.63 : x
  2. Step 2: Convert to fraction form
    12,648.38/27,716.63 = 27,716.63/x
  3. Step 3: Cross multiply
    12,648.38x = 27,716.63 × 27,716.63
  4. Step 4: Simplify right side
    12,648.38x = 768,211,301.39
  5. Step 5: Solve for x
    x = 768,211,301.39/12,648.38
  6. Step 6: Final answer
    x = 60,735.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.