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Finding the Third Proportional to 12,546.56 and 27,052.31

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Solution

The third proportional to 12,546.56 and 27,052.31 is: 58,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.56 : 27,052.31 = 27,052.31 : x
  2. Step 2: Convert to fraction form
    12,546.56/27,052.31 = 27,052.31/x
  3. Step 3: Cross multiply
    12,546.56x = 27,052.31 × 27,052.31
  4. Step 4: Simplify right side
    12,546.56x = 731,827,611.60
  5. Step 5: Solve for x
    x = 731,827,611.60/12,546.56
  6. Step 6: Final answer
    x = 58,328.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.