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Finding the Third Proportional to 4,900 and 10,772

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Solution

The third proportional to 4,900 and 10,772 is: 23,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900 : 10,772 = 10,772 : x
  2. Step 2: Convert to fraction form
    4,900/10,772 = 10,772/x
  3. Step 3: Cross multiply
    4,900x = 10,772 × 10,772
  4. Step 4: Simplify right side
    4,900x = 116,035,984
  5. Step 5: Solve for x
    x = 116,035,984/4,900
  6. Step 6: Final answer
    x = 23,680.81

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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.