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Finding the Third Proportional to 12,791.25 and 19,963.13

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Solution

The third proportional to 12,791.25 and 19,963.13 is: 31,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.25 : 19,963.13 = 19,963.13 : x
  2. Step 2: Convert to fraction form
    12,791.25/19,963.13 = 19,963.13/x
  3. Step 3: Cross multiply
    12,791.25x = 19,963.13 × 19,963.13
  4. Step 4: Simplify right side
    12,791.25x = 398,526,359.77
  5. Step 5: Solve for x
    x = 398,526,359.77/12,791.25
  6. Step 6: Final answer
    x = 31,156.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.