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Finding the Third Proportional to 10,162 and 22,328

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Solution

The third proportional to 10,162 and 22,328 is: 49,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162 : 22,328 = 22,328 : x
  2. Step 2: Convert to fraction form
    10,162/22,328 = 22,328/x
  3. Step 3: Cross multiply
    10,162x = 22,328 × 22,328
  4. Step 4: Simplify right side
    10,162x = 498,539,584
  5. Step 5: Solve for x
    x = 498,539,584/10,162
  6. Step 6: Final answer
    x = 49,059.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.