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Finding the Third Proportional to 15,338.25 and 23,007.38

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Solution

The third proportional to 15,338.25 and 23,007.38 is: 34,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.25 : 23,007.38 = 23,007.38 : x
  2. Step 2: Convert to fraction form
    15,338.25/23,007.38 = 23,007.38/x
  3. Step 3: Cross multiply
    15,338.25x = 23,007.38 × 23,007.38
  4. Step 4: Simplify right side
    15,338.25x = 529,339,304.39
  5. Step 5: Solve for x
    x = 529,339,304.39/15,338.25
  6. Step 6: Final answer
    x = 34,511.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.