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Finding the Third Proportional to 9,749 and 13,894

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Solution

The third proportional to 9,749 and 13,894 is: 19,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749 : 13,894 = 13,894 : x
  2. Step 2: Convert to fraction form
    9,749/13,894 = 13,894/x
  3. Step 3: Cross multiply
    9,749x = 13,894 × 13,894
  4. Step 4: Simplify right side
    9,749x = 193,043,236
  5. Step 5: Solve for x
    x = 193,043,236/9,749
  6. Step 6: Final answer
    x = 19,801.34

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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.