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Finding the Third Proportional to 16,409.25 and 30,753

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Solution

The third proportional to 16,409.25 and 30,753 is: 57,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.25 : 30,753 = 30,753 : x
  2. Step 2: Convert to fraction form
    16,409.25/30,753 = 30,753/x
  3. Step 3: Cross multiply
    16,409.25x = 30,753 × 30,753
  4. Step 4: Simplify right side
    16,409.25x = 945,747,009
  5. Step 5: Solve for x
    x = 945,747,009/16,409.25
  6. Step 6: Final answer
    x = 57,634.99

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.