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Finding the Third Proportional to 9,812 and 23,144

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Solution

The third proportional to 9,812 and 23,144 is: 54,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812 : 23,144 = 23,144 : x
  2. Step 2: Convert to fraction form
    9,812/23,144 = 23,144/x
  3. Step 3: Cross multiply
    9,812x = 23,144 × 23,144
  4. Step 4: Simplify right side
    9,812x = 535,644,736
  5. Step 5: Solve for x
    x = 535,644,736/9,812
  6. Step 6: Final answer
    x = 54,590.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.