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Finding the Third Proportional to 3,133.69 and 6,780.38

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Solution

The third proportional to 3,133.69 and 6,780.38 is: 14,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.69 : 6,780.38 = 6,780.38 : x
  2. Step 2: Convert to fraction form
    3,133.69/6,780.38 = 6,780.38/x
  3. Step 3: Cross multiply
    3,133.69x = 6,780.38 × 6,780.38
  4. Step 4: Simplify right side
    3,133.69x = 45,973,485.14
  5. Step 5: Solve for x
    x = 45,973,485.14/3,133.69
  6. Step 6: Final answer
    x = 14,670.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.