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Finding the Third Proportional to 9,678 and 22,318

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Solution

The third proportional to 9,678 and 22,318 is: 51,466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678 : 22,318 = 22,318 : x
  2. Step 2: Convert to fraction form
    9,678/22,318 = 22,318/x
  3. Step 3: Cross multiply
    9,678x = 22,318 × 22,318
  4. Step 4: Simplify right side
    9,678x = 498,093,124
  5. Step 5: Solve for x
    x = 498,093,124/9,678
  6. Step 6: Final answer
    x = 51,466.53

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.