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Finding the Third Proportional to 27,976.50 and 54,535.50

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Solution

The third proportional to 27,976.50 and 54,535.50 is: 106,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.50 : 54,535.50 = 54,535.50 : x
  2. Step 2: Convert to fraction form
    27,976.50/54,535.50 = 54,535.50/x
  3. Step 3: Cross multiply
    27,976.50x = 54,535.50 × 54,535.50
  4. Step 4: Simplify right side
    27,976.50x = 2,974,120,760.25
  5. Step 5: Solve for x
    x = 2,974,120,760.25/27,976.50
  6. Step 6: Final answer
    x = 106,307.82

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.