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Finding the Third Proportional to 4,844 and 10,318

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Solution

The third proportional to 4,844 and 10,318 is: 21,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844 : 10,318 = 10,318 : x
  2. Step 2: Convert to fraction form
    4,844/10,318 = 10,318/x
  3. Step 3: Cross multiply
    4,844x = 10,318 × 10,318
  4. Step 4: Simplify right side
    4,844x = 106,461,124
  5. Step 5: Solve for x
    x = 106,461,124/4,844
  6. Step 6: Final answer
    x = 21,977.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.