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Finding the Third Proportional to 4,900.50 and 11,446.88

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Solution

The third proportional to 4,900.50 and 11,446.88 is: 26,738.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.50 : 11,446.88 = 11,446.88 : x
  2. Step 2: Convert to fraction form
    4,900.50/11,446.88 = 11,446.88/x
  3. Step 3: Cross multiply
    4,900.50x = 11,446.88 × 11,446.88
  4. Step 4: Simplify right side
    4,900.50x = 131,030,947.27
  5. Step 5: Solve for x
    x = 131,030,947.27/4,900.50
  6. Step 6: Final answer
    x = 26,738.28

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.