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Finding the Third Proportional to 9,793 and 21,182

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Solution

The third proportional to 9,793 and 21,182 is: 45,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793 : 21,182 = 21,182 : x
  2. Step 2: Convert to fraction form
    9,793/21,182 = 21,182/x
  3. Step 3: Cross multiply
    9,793x = 21,182 × 21,182
  4. Step 4: Simplify right side
    9,793x = 448,677,124
  5. Step 5: Solve for x
    x = 448,677,124/9,793
  6. Step 6: Final answer
    x = 45,816.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.