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Finding the Third Proportional to 4,949.25 and 10,505.81

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Solution

The third proportional to 4,949.25 and 10,505.81 is: 22,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.25 : 10,505.81 = 10,505.81 : x
  2. Step 2: Convert to fraction form
    4,949.25/10,505.81 = 10,505.81/x
  3. Step 3: Cross multiply
    4,949.25x = 10,505.81 × 10,505.81
  4. Step 4: Simplify right side
    4,949.25x = 110,372,096.29
  5. Step 5: Solve for x
    x = 110,372,096.29/4,949.25
  6. Step 6: Final answer
    x = 22,300.77

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.