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Finding the Third Proportional to 6,975 and 9,942

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Solution

The third proportional to 6,975 and 9,942 is: 14,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975 : 9,942 = 9,942 : x
  2. Step 2: Convert to fraction form
    6,975/9,942 = 9,942/x
  3. Step 3: Cross multiply
    6,975x = 9,942 × 9,942
  4. Step 4: Simplify right side
    6,975x = 98,843,364
  5. Step 5: Solve for x
    x = 98,843,364/6,975
  6. Step 6: Final answer
    x = 14,171.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.