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Finding the Third Proportional to 13,015.69 and 20,761.31

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Solution

The third proportional to 13,015.69 and 20,761.31 is: 33,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 20,761.31 = 20,761.31 : x
  2. Step 2: Convert to fraction form
    13,015.69/20,761.31 = 20,761.31/x
  3. Step 3: Cross multiply
    13,015.69x = 20,761.31 × 20,761.31
  4. Step 4: Simplify right side
    13,015.69x = 431,032,096.72
  5. Step 5: Solve for x
    x = 431,032,096.72/13,015.69
  6. Step 6: Final answer
    x = 33,116.35

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.