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Finding the Third Proportional to 12,468 and 19,163

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Solution

The third proportional to 12,468 and 19,163 is: 29,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468 : 19,163 = 19,163 : x
  2. Step 2: Convert to fraction form
    12,468/19,163 = 19,163/x
  3. Step 3: Cross multiply
    12,468x = 19,163 × 19,163
  4. Step 4: Simplify right side
    12,468x = 367,220,569
  5. Step 5: Solve for x
    x = 367,220,569/12,468
  6. Step 6: Final answer
    x = 29,453.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.