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Finding the Third Proportional to 4,980.31 and 10,836.83

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Solution

The third proportional to 4,980.31 and 10,836.83 is: 23,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,980.31 : 10,836.83 = 10,836.83 : x
  2. Step 2: Convert to fraction form
    4,980.31/10,836.83 = 10,836.83/x
  3. Step 3: Cross multiply
    4,980.31x = 10,836.83 × 10,836.83
  4. Step 4: Simplify right side
    4,980.31x = 117,436,991.97
  5. Step 5: Solve for x
    x = 117,436,991.97/4,980.31
  6. Step 6: Final answer
    x = 23,580.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.