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Finding the Third Proportional to 12,366 and 19,125

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Solution

The third proportional to 12,366 and 19,125 is: 29,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366 : 19,125 = 19,125 : x
  2. Step 2: Convert to fraction form
    12,366/19,125 = 19,125/x
  3. Step 3: Cross multiply
    12,366x = 19,125 × 19,125
  4. Step 4: Simplify right side
    12,366x = 365,765,625
  5. Step 5: Solve for x
    x = 365,765,625/12,366
  6. Step 6: Final answer
    x = 29,578.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.