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Finding the Third Proportional to 4,974.75 and 10,921.50

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Solution

The third proportional to 4,974.75 and 10,921.50 is: 23,976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.75 : 10,921.50 = 10,921.50 : x
  2. Step 2: Convert to fraction form
    4,974.75/10,921.50 = 10,921.50/x
  3. Step 3: Cross multiply
    4,974.75x = 10,921.50 × 10,921.50
  4. Step 4: Simplify right side
    4,974.75x = 119,279,162.25
  5. Step 5: Solve for x
    x = 119,279,162.25/4,974.75
  6. Step 6: Final answer
    x = 23,976.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.