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Finding the Third Proportional to 15,469.88 and 23,238.56

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Solution

The third proportional to 15,469.88 and 23,238.56 is: 34,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,469.88 : 23,238.56 = 23,238.56 : x
  2. Step 2: Convert to fraction form
    15,469.88/23,238.56 = 23,238.56/x
  3. Step 3: Cross multiply
    15,469.88x = 23,238.56 × 23,238.56
  4. Step 4: Simplify right side
    15,469.88x = 540,030,787.07
  5. Step 5: Solve for x
    x = 540,030,787.07/15,469.88
  6. Step 6: Final answer
    x = 34,908.54

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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.