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Finding the Third Proportional to 5,112.94 and 10,954.31

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Solution

The third proportional to 5,112.94 and 10,954.31 is: 23,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.94 : 10,954.31 = 10,954.31 : x
  2. Step 2: Convert to fraction form
    5,112.94/10,954.31 = 10,954.31/x
  3. Step 3: Cross multiply
    5,112.94x = 10,954.31 × 10,954.31
  4. Step 4: Simplify right side
    5,112.94x = 119,996,962.35
  5. Step 5: Solve for x
    x = 119,996,962.35/5,112.94
  6. Step 6: Final answer
    x = 23,469.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.