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Finding the Third Proportional to 12,791.25 and 19,733.63

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Solution

The third proportional to 12,791.25 and 19,733.63 is: 30,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.25 : 19,733.63 = 19,733.63 : x
  2. Step 2: Convert to fraction form
    12,791.25/19,733.63 = 19,733.63/x
  3. Step 3: Cross multiply
    12,791.25x = 19,733.63 × 19,733.63
  4. Step 4: Simplify right side
    12,791.25x = 389,415,955.64
  5. Step 5: Solve for x
    x = 389,415,955.64/12,791.25
  6. Step 6: Final answer
    x = 30,443.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.