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Finding the Third Proportional to 5,033.38 and 10,759.38

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Solution

The third proportional to 5,033.38 and 10,759.38 is: 22,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.38 : 10,759.38 = 10,759.38 : x
  2. Step 2: Convert to fraction form
    5,033.38/10,759.38 = 10,759.38/x
  3. Step 3: Cross multiply
    5,033.38x = 10,759.38 × 10,759.38
  4. Step 4: Simplify right side
    5,033.38x = 115,764,150.39
  5. Step 5: Solve for x
    x = 115,764,150.39/5,033.38
  6. Step 6: Final answer
    x = 22,999.31

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Why These Related Problems?

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