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Finding the Third Proportional to 12,541.50 and 27,043.50

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Solution

The third proportional to 12,541.50 and 27,043.50 is: 58,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.50 : 27,043.50 = 27,043.50 : x
  2. Step 2: Convert to fraction form
    12,541.50/27,043.50 = 27,043.50/x
  3. Step 3: Cross multiply
    12,541.50x = 27,043.50 × 27,043.50
  4. Step 4: Simplify right side
    12,541.50x = 731,350,892.25
  5. Step 5: Solve for x
    x = 731,350,892.25/12,541.50
  6. Step 6: Final answer
    x = 58,314.47

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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.