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Finding the Third Proportional to 6,729 and 14,385

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Solution

The third proportional to 6,729 and 14,385 is: 30,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729 : 14,385 = 14,385 : x
  2. Step 2: Convert to fraction form
    6,729/14,385 = 14,385/x
  3. Step 3: Cross multiply
    6,729x = 14,385 × 14,385
  4. Step 4: Simplify right side
    6,729x = 206,928,225
  5. Step 5: Solve for x
    x = 206,928,225/6,729
  6. Step 6: Final answer
    x = 30,751.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.