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Finding the Third Proportional to 12,944.81 and 27,185.63

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Solution

The third proportional to 12,944.81 and 27,185.63 is: 57,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,944.81 : 27,185.63 = 27,185.63 : x
  2. Step 2: Convert to fraction form
    12,944.81/27,185.63 = 27,185.63/x
  3. Step 3: Cross multiply
    12,944.81x = 27,185.63 × 27,185.63
  4. Step 4: Simplify right side
    12,944.81x = 739,058,206.64
  5. Step 5: Solve for x
    x = 739,058,206.64/12,944.81
  6. Step 6: Final answer
    x = 57,093.00

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.