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Finding the Third Proportional to 12,744 and 19,440

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Solution

The third proportional to 12,744 and 19,440 is: 29,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,744 : 19,440 = 19,440 : x
  2. Step 2: Convert to fraction form
    12,744/19,440 = 19,440/x
  3. Step 3: Cross multiply
    12,744x = 19,440 × 19,440
  4. Step 4: Simplify right side
    12,744x = 377,913,600
  5. Step 5: Solve for x
    x = 377,913,600/12,744
  6. Step 6: Final answer
    x = 29,654.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.