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Finding the Third Proportional to 12,084.75 and 27,255.38

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Solution

The third proportional to 12,084.75 and 27,255.38 is: 61,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.75 : 27,255.38 = 27,255.38 : x
  2. Step 2: Convert to fraction form
    12,084.75/27,255.38 = 27,255.38/x
  3. Step 3: Cross multiply
    12,084.75x = 27,255.38 × 27,255.38
  4. Step 4: Simplify right side
    12,084.75x = 742,855,466.39
  5. Step 5: Solve for x
    x = 742,855,466.39/12,084.75
  6. Step 6: Final answer
    x = 61,470.49

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.