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Finding the Third Proportional to 10,821 and 23,371

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Solution

The third proportional to 10,821 and 23,371 is: 50,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821 : 23,371 = 23,371 : x
  2. Step 2: Convert to fraction form
    10,821/23,371 = 23,371/x
  3. Step 3: Cross multiply
    10,821x = 23,371 × 23,371
  4. Step 4: Simplify right side
    10,821x = 546,203,641
  5. Step 5: Solve for x
    x = 546,203,641/10,821
  6. Step 6: Final answer
    x = 50,476.26

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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.