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Finding the Third Proportional to 27,449.63 and 37,286.25

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Solution

The third proportional to 27,449.63 and 37,286.25 is: 50,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,449.63 : 37,286.25 = 37,286.25 : x
  2. Step 2: Convert to fraction form
    27,449.63/37,286.25 = 37,286.25/x
  3. Step 3: Cross multiply
    27,449.63x = 37,286.25 × 37,286.25
  4. Step 4: Simplify right side
    27,449.63x = 1,390,264,439.06
  5. Step 5: Solve for x
    x = 1,390,264,439.06/27,449.63
  6. Step 6: Final answer
    x = 50,647.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.