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Finding the Third Proportional to 9,750 and 13,942

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Solution

The third proportional to 9,750 and 13,942 is: 19,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 13,942 = 13,942 : x
  2. Step 2: Convert to fraction form
    9,750/13,942 = 13,942/x
  3. Step 3: Cross multiply
    9,750x = 13,942 × 13,942
  4. Step 4: Simplify right side
    9,750x = 194,379,364
  5. Step 5: Solve for x
    x = 194,379,364/9,750
  6. Step 6: Final answer
    x = 19,936.35

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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.