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Finding the Third Proportional to 12,468.94 and 27,014.77

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Solution

The third proportional to 12,468.94 and 27,014.77 is: 58,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.94 : 27,014.77 = 27,014.77 : x
  2. Step 2: Convert to fraction form
    12,468.94/27,014.77 = 27,014.77/x
  3. Step 3: Cross multiply
    12,468.94x = 27,014.77 × 27,014.77
  4. Step 4: Simplify right side
    12,468.94x = 729,797,561.77
  5. Step 5: Solve for x
    x = 729,797,561.77/12,468.94
  6. Step 6: Final answer
    x = 58,529.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.