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Finding the Third Proportional to 12,469 and 26,369

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Solution

The third proportional to 12,469 and 26,369 is: 55,764.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469 : 26,369 = 26,369 : x
  2. Step 2: Convert to fraction form
    12,469/26,369 = 26,369/x
  3. Step 3: Cross multiply
    12,469x = 26,369 × 26,369
  4. Step 4: Simplify right side
    12,469x = 695,324,161
  5. Step 5: Solve for x
    x = 695,324,161/12,469
  6. Step 6: Final answer
    x = 55,764.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.