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Finding the Third Proportional to 6,923.25 and 15,230.39

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Solution

The third proportional to 6,923.25 and 15,230.39 is: 33,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.25 : 15,230.39 = 15,230.39 : x
  2. Step 2: Convert to fraction form
    6,923.25/15,230.39 = 15,230.39/x
  3. Step 3: Cross multiply
    6,923.25x = 15,230.39 × 15,230.39
  4. Step 4: Simplify right side
    6,923.25x = 231,964,798.59
  5. Step 5: Solve for x
    x = 231,964,798.59/6,923.25
  6. Step 6: Final answer
    x = 33,505.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.