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Finding the Third Proportional to 21,524 and 46,446

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Solution

The third proportional to 21,524 and 46,446 is: 100,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,524 : 46,446 = 46,446 : x
  2. Step 2: Convert to fraction form
    21,524/46,446 = 46,446/x
  3. Step 3: Cross multiply
    21,524x = 46,446 × 46,446
  4. Step 4: Simplify right side
    21,524x = 2,157,230,916
  5. Step 5: Solve for x
    x = 2,157,230,916/21,524
  6. Step 6: Final answer
    x = 100,224.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.