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Finding the Third Proportional to 6,942 and 14,235

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Solution

The third proportional to 6,942 and 14,235 is: 29,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942 : 14,235 = 14,235 : x
  2. Step 2: Convert to fraction form
    6,942/14,235 = 14,235/x
  3. Step 3: Cross multiply
    6,942x = 14,235 × 14,235
  4. Step 4: Simplify right side
    6,942x = 202,635,225
  5. Step 5: Solve for x
    x = 202,635,225/6,942
  6. Step 6: Final answer
    x = 29,189.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.