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Finding the Third Proportional to 27,759.75 and 36,446.25

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Solution

The third proportional to 27,759.75 and 36,446.25 is: 47,850.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,759.75 : 36,446.25 = 36,446.25 : x
  2. Step 2: Convert to fraction form
    27,759.75/36,446.25 = 36,446.25/x
  3. Step 3: Cross multiply
    27,759.75x = 36,446.25 × 36,446.25
  4. Step 4: Simplify right side
    27,759.75x = 1,328,329,139.06
  5. Step 5: Solve for x
    x = 1,328,329,139.06/27,759.75
  6. Step 6: Final answer
    x = 47,850.90

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.