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Finding the Third Proportional to 6,765 and 16,178.25

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Solution

The third proportional to 6,765 and 16,178.25 is: 38,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765 : 16,178.25 = 16,178.25 : x
  2. Step 2: Convert to fraction form
    6,765/16,178.25 = 16,178.25/x
  3. Step 3: Cross multiply
    6,765x = 16,178.25 × 16,178.25
  4. Step 4: Simplify right side
    6,765x = 261,735,773.06
  5. Step 5: Solve for x
    x = 261,735,773.06/6,765
  6. Step 6: Final answer
    x = 38,689.69

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.