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Finding the Third Proportional to 7,702 and 18,176

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Solution

The third proportional to 7,702 and 18,176 is: 42,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 18,176 = 18,176 : x
  2. Step 2: Convert to fraction form
    7,702/18,176 = 18,176/x
  3. Step 3: Cross multiply
    7,702x = 18,176 × 18,176
  4. Step 4: Simplify right side
    7,702x = 330,366,976
  5. Step 5: Solve for x
    x = 330,366,976/7,702
  6. Step 6: Final answer
    x = 42,893.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.