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Finding the Third Proportional to 26,241 and 56,629

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Solution

The third proportional to 26,241 and 56,629 is: 122,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,241 : 56,629 = 56,629 : x
  2. Step 2: Convert to fraction form
    26,241/56,629 = 56,629/x
  3. Step 3: Cross multiply
    26,241x = 56,629 × 56,629
  4. Step 4: Simplify right side
    26,241x = 3,206,843,641
  5. Step 5: Solve for x
    x = 3,206,843,641/26,241
  6. Step 6: Final answer
    x = 122,207.37

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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.