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Finding the Third Proportional to 17,843 and 26,629

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Solution

The third proportional to 17,843 and 26,629 is: 39,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,843 : 26,629 = 26,629 : x
  2. Step 2: Convert to fraction form
    17,843/26,629 = 26,629/x
  3. Step 3: Cross multiply
    17,843x = 26,629 × 26,629
  4. Step 4: Simplify right side
    17,843x = 709,103,641
  5. Step 5: Solve for x
    x = 709,103,641/17,843
  6. Step 6: Final answer
    x = 39,741.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.