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Finding the Third Proportional to 12,483 and 26,163

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Solution

The third proportional to 12,483 and 26,163 is: 54,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,483 : 26,163 = 26,163 : x
  2. Step 2: Convert to fraction form
    12,483/26,163 = 26,163/x
  3. Step 3: Cross multiply
    12,483x = 26,163 × 26,163
  4. Step 4: Simplify right side
    12,483x = 684,502,569
  5. Step 5: Solve for x
    x = 684,502,569/12,483
  6. Step 6: Final answer
    x = 54,834.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.