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Finding the Third Proportional to 12,538.13 and 27,536.63

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Solution

The third proportional to 12,538.13 and 27,536.63 is: 60,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.13 : 27,536.63 = 27,536.63 : x
  2. Step 2: Convert to fraction form
    12,538.13/27,536.63 = 27,536.63/x
  3. Step 3: Cross multiply
    12,538.13x = 27,536.63 × 27,536.63
  4. Step 4: Simplify right side
    12,538.13x = 758,265,716.39
  5. Step 5: Solve for x
    x = 758,265,716.39/12,538.13
  6. Step 6: Final answer
    x = 60,476.80

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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.