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Finding the Third Proportional to 10,220 and 21,172

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Solution

The third proportional to 10,220 and 21,172 is: 43,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220 : 21,172 = 21,172 : x
  2. Step 2: Convert to fraction form
    10,220/21,172 = 21,172/x
  3. Step 3: Cross multiply
    10,220x = 21,172 × 21,172
  4. Step 4: Simplify right side
    10,220x = 448,253,584
  5. Step 5: Solve for x
    x = 448,253,584/10,220
  6. Step 6: Final answer
    x = 43,860.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.