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Finding the Third Proportional to 12,941.44 and 27,727.31

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Solution

The third proportional to 12,941.44 and 27,727.31 is: 59,406.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.44 : 27,727.31 = 27,727.31 : x
  2. Step 2: Convert to fraction form
    12,941.44/27,727.31 = 27,727.31/x
  3. Step 3: Cross multiply
    12,941.44x = 27,727.31 × 27,727.31
  4. Step 4: Simplify right side
    12,941.44x = 768,803,858.47
  5. Step 5: Solve for x
    x = 768,803,858.47/12,941.44
  6. Step 6: Final answer
    x = 59,406.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.