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Finding the Third Proportional to 7,302 and 16,176

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Solution

The third proportional to 7,302 and 16,176 is: 35,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302 : 16,176 = 16,176 : x
  2. Step 2: Convert to fraction form
    7,302/16,176 = 16,176/x
  3. Step 3: Cross multiply
    7,302x = 16,176 × 16,176
  4. Step 4: Simplify right side
    7,302x = 261,662,976
  5. Step 5: Solve for x
    x = 261,662,976/7,302
  6. Step 6: Final answer
    x = 35,834.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.