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Finding the Third Proportional to 21,429 and 33,651

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Solution

The third proportional to 21,429 and 33,651 is: 52,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429 : 33,651 = 33,651 : x
  2. Step 2: Convert to fraction form
    21,429/33,651 = 33,651/x
  3. Step 3: Cross multiply
    21,429x = 33,651 × 33,651
  4. Step 4: Simplify right side
    21,429x = 1,132,389,801
  5. Step 5: Solve for x
    x = 1,132,389,801/21,429
  6. Step 6: Final answer
    x = 52,843.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.