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Finding the Third Proportional to 12,212 and 25,071

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Solution

The third proportional to 12,212 and 25,071 is: 51,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,212 : 25,071 = 25,071 : x
  2. Step 2: Convert to fraction form
    12,212/25,071 = 25,071/x
  3. Step 3: Cross multiply
    12,212x = 25,071 × 25,071
  4. Step 4: Simplify right side
    12,212x = 628,555,041
  5. Step 5: Solve for x
    x = 628,555,041/12,212
  6. Step 6: Final answer
    x = 51,470.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.