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Finding the Third Proportional to 16,048.97 and 24,121.97

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Solution

The third proportional to 16,048.97 and 24,121.97 is: 36,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048.97 : 24,121.97 = 24,121.97 : x
  2. Step 2: Convert to fraction form
    16,048.97/24,121.97 = 24,121.97/x
  3. Step 3: Cross multiply
    16,048.97x = 24,121.97 × 24,121.97
  4. Step 4: Simplify right side
    16,048.97x = 581,869,376.38
  5. Step 5: Solve for x
    x = 581,869,376.38/16,048.97
  6. Step 6: Final answer
    x = 36,255.87

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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.