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Finding the Third Proportional to 10,012 and 14,422

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Solution

The third proportional to 10,012 and 14,422 is: 20,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012 : 14,422 = 14,422 : x
  2. Step 2: Convert to fraction form
    10,012/14,422 = 14,422/x
  3. Step 3: Cross multiply
    10,012x = 14,422 × 14,422
  4. Step 4: Simplify right side
    10,012x = 207,994,084
  5. Step 5: Solve for x
    x = 207,994,084/10,012
  6. Step 6: Final answer
    x = 20,774.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.