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Finding the Third Proportional to 9,933 and 11,373

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Solution

The third proportional to 9,933 and 11,373 is: 13,021.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933 : 11,373 = 11,373 : x
  2. Step 2: Convert to fraction form
    9,933/11,373 = 11,373/x
  3. Step 3: Cross multiply
    9,933x = 11,373 × 11,373
  4. Step 4: Simplify right side
    9,933x = 129,345,129
  5. Step 5: Solve for x
    x = 129,345,129/9,933
  6. Step 6: Final answer
    x = 13,021.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.