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Finding the Third Proportional to 26,469 and 37,629

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Solution

The third proportional to 26,469 and 37,629 is: 53,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,469 : 37,629 = 37,629 : x
  2. Step 2: Convert to fraction form
    26,469/37,629 = 37,629/x
  3. Step 3: Cross multiply
    26,469x = 37,629 × 37,629
  4. Step 4: Simplify right side
    26,469x = 1,415,941,641
  5. Step 5: Solve for x
    x = 1,415,941,641/26,469
  6. Step 6: Final answer
    x = 53,494.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.