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Finding the Third Proportional to 12,325 and 19,121

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Solution

The third proportional to 12,325 and 19,121 is: 29,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325 : 19,121 = 19,121 : x
  2. Step 2: Convert to fraction form
    12,325/19,121 = 19,121/x
  3. Step 3: Cross multiply
    12,325x = 19,121 × 19,121
  4. Step 4: Simplify right side
    12,325x = 365,612,641
  5. Step 5: Solve for x
    x = 365,612,641/12,325
  6. Step 6: Final answer
    x = 29,664.31

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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.