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Finding the Third Proportional to 17,701 and 23,629

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Solution

The third proportional to 17,701 and 23,629 is: 31,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701 : 23,629 = 23,629 : x
  2. Step 2: Convert to fraction form
    17,701/23,629 = 23,629/x
  3. Step 3: Cross multiply
    17,701x = 23,629 × 23,629
  4. Step 4: Simplify right side
    17,701x = 558,329,641
  5. Step 5: Solve for x
    x = 558,329,641/17,701
  6. Step 6: Final answer
    x = 31,542.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.